(7x-6)(5x+8)=

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Solution for (7x-6)(5x+8)= equation:


Simplifying
(7x + -6)(5x + 8) = 0

Reorder the terms:
(-6 + 7x)(5x + 8) = 0

Reorder the terms:
(-6 + 7x)(8 + 5x) = 0

Multiply (-6 + 7x) * (8 + 5x)
(-6(8 + 5x) + 7x * (8 + 5x)) = 0
((8 * -6 + 5x * -6) + 7x * (8 + 5x)) = 0
((-48 + -30x) + 7x * (8 + 5x)) = 0
(-48 + -30x + (8 * 7x + 5x * 7x)) = 0
(-48 + -30x + (56x + 35x2)) = 0

Combine like terms: -30x + 56x = 26x
(-48 + 26x + 35x2) = 0

Solving
-48 + 26x + 35x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -5x)(6 + -7x) = 0

Subproblem 1

Set the factor '(-8 + -5x)' equal to zero and attempt to solve: Simplifying -8 + -5x = 0 Solving -8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 0 + 8 -5x = 0 + 8 Combine like terms: 0 + 8 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6

Subproblem 2

Set the factor '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571

Solution

x = {-1.6, 0.8571428571}

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