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32x+10(1,2-14x)=-28x+40 equation

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Numerical solution:

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The solution

You have entered [src]
32*x + 10*(6/5 - 14*x) = -28*x + 40
$$32 x + 10 \left(\frac{6}{5} - 14 x\right) = 40 - 28 x$$
Detail solution
Given the linear equation:
32*x+10*((6/5)-14*x) = -28*x+40

Expand brackets in the left part
32*x+10*6/5-14*x) = -28*x+40

Move free summands (without x)
from left part to right part, we given:
$$- 108 x = 28 - 28 x$$
Move the summands with the unknown x
from the right part to the left part:
$$\left(-80\right) x = 28$$
Divide both parts of the equation by -80
x = 28 / (-80)

We get the answer: x = -7/20
The graph
Sum and product of roots [src]
sum
-7/20
$$- \frac{7}{20}$$
=
-7/20
$$- \frac{7}{20}$$
product
-7/20
$$- \frac{7}{20}$$
=
-7/20
$$- \frac{7}{20}$$
-7/20
Rapid solution [src]
x1 = -7/20
$$x_{1} = - \frac{7}{20}$$
x1 = -7/20
Numerical answer [src]
x1 = -0.35
x1 = -0.35