(8x+9)(4x-7)=0

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Solution for (8x+9)(4x-7)=0 equation:


Simplifying
(8x + 9)(4x + -7) = 0

Reorder the terms:
(9 + 8x)(4x + -7) = 0

Reorder the terms:
(9 + 8x)(-7 + 4x) = 0

Multiply (9 + 8x) * (-7 + 4x)
(9(-7 + 4x) + 8x * (-7 + 4x)) = 0
((-7 * 9 + 4x * 9) + 8x * (-7 + 4x)) = 0
((-63 + 36x) + 8x * (-7 + 4x)) = 0
(-63 + 36x + (-7 * 8x + 4x * 8x)) = 0
(-63 + 36x + (-56x + 32x2)) = 0

Combine like terms: 36x + -56x = -20x
(-63 + -20x + 32x2) = 0

Solving
-63 + -20x + 32x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -8x)(7 + -4x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75

Solution

x = {-1.125, 1.75}

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