(5x+6)(8x-4)=

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Solution for (5x+6)(8x-4)= equation:


Simplifying
(5x + 6)(8x + -4) = 0

Reorder the terms:
(6 + 5x)(8x + -4) = 0

Reorder the terms:
(6 + 5x)(-4 + 8x) = 0

Multiply (6 + 5x) * (-4 + 8x)
(6(-4 + 8x) + 5x * (-4 + 8x)) = 0
((-4 * 6 + 8x * 6) + 5x * (-4 + 8x)) = 0
((-24 + 48x) + 5x * (-4 + 8x)) = 0
(-24 + 48x + (-4 * 5x + 8x * 5x)) = 0
(-24 + 48x + (-20x + 40x2)) = 0

Combine like terms: 48x + -20x = 28x
(-24 + 28x + 40x2) = 0

Solving
-24 + 28x + 40x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-6 + 7x + 10x2) = 0

Factor a trinomial.
4((-6 + -5x)(1 + -2x)) = 0

Ignore the factor 4.

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 '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Solution

x = {-1.2, 0.5}

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