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

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


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

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

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

Multiply (-6 + 5x) * (7 + -8x)
(-6(7 + -8x) + 5x * (7 + -8x)) = 0
((7 * -6 + -8x * -6) + 5x * (7 + -8x)) = 0
((-42 + 48x) + 5x * (7 + -8x)) = 0
(-42 + 48x + (7 * 5x + -8x * 5x)) = 0
(-42 + 48x + (35x + -40x2)) = 0

Combine like terms: 48x + 35x = 83x
(-42 + 83x + -40x2) = 0

Solving
-42 + 83x + -40x2 = 0

Solving for variable 'x'.

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

Subproblem 1

Set the factor '(-6 + 5x)' equal to zero and attempt to solve: Simplifying -6 + 5x = 0 Solving -6 + 5x = 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 + 5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 5x = 0 + 6 5x = 0 + 6 Combine like terms: 0 + 6 = 6 5x = 6 Divide each side by '5'. x = 1.2 Simplifying x = 1.2

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 = {1.2, 0.875}

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