(4x+5)(8x-9)=0

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Solution for (4x+5)(8x-9)=0 equation:


Simplifying
(4x + 5)(8x + -9) = 0

Reorder the terms:
(5 + 4x)(8x + -9) = 0

Reorder the terms:
(5 + 4x)(-9 + 8x) = 0

Multiply (5 + 4x) * (-9 + 8x)
(5(-9 + 8x) + 4x * (-9 + 8x)) = 0
((-9 * 5 + 8x * 5) + 4x * (-9 + 8x)) = 0
((-45 + 40x) + 4x * (-9 + 8x)) = 0
(-45 + 40x + (-9 * 4x + 8x * 4x)) = 0
(-45 + 40x + (-36x + 32x2)) = 0

Combine like terms: 40x + -36x = 4x
(-45 + 4x + 32x2) = 0

Solving
-45 + 4x + 32x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -4x)(9 + -8x) = 0

Subproblem 1

Set the factor '(-5 + -4x)' equal to zero and attempt to solve: Simplifying -5 + -4x = 0 Solving -5 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -4x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x = 0 + 5 -4x = 0 + 5 Combine like terms: 0 + 5 = 5 -4x = 5 Divide each side by '-4'. x = -1.25 Simplifying x = -1.25

Subproblem 2

Set the factor '(9 + -8x)' equal to zero and attempt to solve: Simplifying 9 + -8x = 0 Solving 9 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -8x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -8x = 0 + -9 -8x = 0 + -9 Combine like terms: 0 + -9 = -9 -8x = -9 Divide each side by '-8'. x = 1.125 Simplifying x = 1.125

Solution

x = {-1.25, 1.125}

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