Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 1-5*x=-6*x+8
-
Equation 3-3*6+2=x
-
Equation cos(x/2)=-(1/2)
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Equation x^2-3*x+3=0
- Express {x} in terms of y where:
- 10*x-2*y=0
- 2*x+1*y=-8
- 2*x+2*y=-6
- 12*x-13*y=-14
-
Identical expressions
- sixteen +6x= five *(one -2x)- thirteen
- 16 plus 6x equally 5 multiply by (1 minus 2x) minus 13
- sixteen plus 6x equally five multiply by (one minus 2x) minus thirteen
- 16+6x=5(1-2x)-13
- 16+6x=51-2x-13
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Similar expressions
- 16+6x=5*(1+2x)-13
- 16-6x=5*(1-2x)-13
- 2*sinx^2*πx/16+6*x+9=0
- 16+6x=5*(1-2x)+13
16+6x=5*(1-2x)-13 equation
The teacher will be very surprised to see your correct solution 😉
The solution
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[src]
16 + 6*x = 5*(1 - 2*x) - 13
$$6 x + 16 = 5 \cdot \left(- 2 x + 1\right) - 13$$
Detail solution
Given the linear equation:
Expand brackets in the right part
Looking for similar summands in the right part:
Move free summands (without x)
from left part to right part, we given:
$$6 x = - 10 x - 24$$
Move the summands with the unknown x
from the right part to the left part:
$$16 x = -24$$
Divide both parts of the equation by 16
We get the answer: x = -3/2
16+6*x = 5*(1-2*x)-13
Expand brackets in the right part
16+6*x = 5*1-5*2*x-13
Looking for similar summands in the right part:
16 + 6*x = -8 - 10*x
Move free summands (without x)
from left part to right part, we given:
$$6 x = - 10 x - 24$$
Move the summands with the unknown x
from the right part to the left part:
$$16 x = -24$$
Divide both parts of the equation by 16
x = -24 / (16)
We get the answer: x = -3/2
Sum and product of roots
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sum
0 - 3/2
$$- \frac{3}{2} + 0$$
=
-3/2
$$- \frac{3}{2}$$
product
1*-3/2
$$1 \left(- \frac{3}{2}\right)$$
=
-3/2
$$- \frac{3}{2}$$
-3/2
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