2x-3(2x+3)=5 equation

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2*x - 3*(2*x + 3) = 5

$$2 x - 3 \left(2 x + 3\right) = 5$$

Simplify

Detail solution

Given the linear equation:

2*x-3*(2*x+3) = 5

Expand brackets in the left part

2*x-3*2*x-3*3 = 5

Looking for similar summands in the left part:

-9 - 4*x = 5

Move free summands (without x)
from left part to right part, we given:
$$- 4 x = 14$$
Divide both parts of the equation by -4

x = 14 / (-4)

We get the answer: x = -7/2

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Sum and product of roots [src]

sum

-7/2

$$- \frac{7}{2}$$

-7/2

$$- \frac{7}{2}$$

product

-7/2

$$- \frac{7}{2}$$

-7/2

$$- \frac{7}{2}$$

-7/2

Rapid solution [src]

x1 = -7/2

$$x_{1} = - \frac{7}{2}$$

x1 = -7/2

Numerical answer [src]

x1 = -3.5

x1 = -3.5

The graph