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

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


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

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

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

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

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

Solving
-63 + -38x + 16x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-9 + -8x)(7 + -2x) = 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 + -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
Solution
x = {-1.125, 3.5}

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