(2x+7)(8x-9)=0

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Solution for (2x+7)(8x-9)=0 equation:


Simplifying
(2x + 7)(8x + -9) = 0

Reorder the terms:
(7 + 2x)(8x + -9) = 0

Reorder the terms:
(7 + 2x)(-9 + 8x) = 0

Multiply (7 + 2x) * (-9 + 8x)
(7(-9 + 8x) + 2x * (-9 + 8x)) = 0
((-9 * 7 + 8x * 7) + 2x * (-9 + 8x)) = 0
((-63 + 56x) + 2x * (-9 + 8x)) = 0
(-63 + 56x + (-9 * 2x + 8x * 2x)) = 0
(-63 + 56x + (-18x + 16x2)) = 0

Combine like terms: 56x + -18x = 38x
(-63 + 38x + 16x2) = 0

Solving
-63 + 38x + 16x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -2x)(9 + -8x) = 0

Subproblem 1

Set the factor '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 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 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5

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 = {-3.5, 1.125}

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