(8x+7)(x-6x+3)=

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Solution for (8x+7)(x-6x+3)= equation: 


Simplifying
(8x + 7)(x + -6x + 3) = 0

Reorder the terms:
(7 + 8x)(x + -6x + 3) = 0

Reorder the terms:
(7 + 8x)(3 + x + -6x) = 0

Combine like terms: x + -6x = -5x
(7 + 8x)(3 + -5x) = 0

Multiply (7 + 8x) * (3 + -5x)
(7(3 + -5x) + 8x * (3 + -5x)) = 0
((3 * 7 + -5x * 7) + 8x * (3 + -5x)) = 0
((21 + -35x) + 8x * (3 + -5x)) = 0
(21 + -35x + (3 * 8x + -5x * 8x)) = 0
(21 + -35x + (24x + -40x2)) = 0

Combine like terms: -35x + 24x = -11x
(21 + -11x + -40x2) = 0

Solving
21 + -11x + -40x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(3 + -5x)(7 + 8x) = 0


Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6

Subproblem 2
Set the factor '(7 + 8x)' equal to zero and attempt to solve:

Simplifying
7 + 8x = 0

Solving
7 + 8x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-7' to each side of the equation.
7 + -7 + 8x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 8x = 0 + -7
8x = 0 + -7

Combine like terms: 0 + -7 = -7
8x = -7

Divide each side by '8'.
x = -0.875

Simplifying
x = -0.875
Solution
x = {0.6, -0.875}

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