x(7-6x)=(1-3x)(1+2x) equation

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x*(7 - 6*x) = (1 - 3*x)*(1 + 2*x)

$$x \left(7 - 6 x\right) = \left(1 - 3 x\right) \left(2 x + 1\right)$$

Simplify

Detail solution

Given the equation:

x*(7-6*x) = (1-3*x)*(1+2*x)

Expand expressions:

-6*x^2 + 7*x = (1-3*x)*(1+2*x)

x*(7-6*x) = 1 - x - 6*x^2

Reducing, you get:

-1 + 8*x = 0

Move free summands (without x)
from left part to right part, we given:
$$8 x = 1$$
Divide both parts of the equation by 8

x = 1 / (8)

We get the answer: x = 1/8

The graph

Plot the graph f1(x)

Plot the graph f2(x)

Rapid solution [src]

x1 = 1/8

$$x_{1} = \frac{1}{8}$$

x1 = 1/8

Sum and product of roots [src]

sum

1/8

$$\frac{1}{8}$$

1/8

$$\frac{1}{8}$$

product

1/8

$$\frac{1}{8}$$

1/8

$$\frac{1}{8}$$

1/8

Numerical answer [src]

x1 = 0.125

x1 = 0.125