(7x-8)(9x+14)=0

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Solution for (7x-8)(9x+14)=0 equation: 


Simplifying
(7x + -8)(9x + 14) = 0

Reorder the terms:
(-8 + 7x)(9x + 14) = 0

Reorder the terms:
(-8 + 7x)(14 + 9x) = 0

Multiply (-8 + 7x) * (14 + 9x)
(-8(14 + 9x) + 7x * (14 + 9x)) = 0
((14 * -8 + 9x * -8) + 7x * (14 + 9x)) = 0
((-112 + -72x) + 7x * (14 + 9x)) = 0
(-112 + -72x + (14 * 7x + 9x * 7x)) = 0
(-112 + -72x + (98x + 63x2)) = 0

Combine like terms: -72x + 98x = 26x
(-112 + 26x + 63x2) = 0

Solving
-112 + 26x + 63x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-14 + -9x)(8 + -7x) = 0


Subproblem 1
Set the factor '(-14 + -9x)' equal to zero and attempt to solve:

Simplifying
-14 + -9x = 0

Solving
-14 + -9x = 0

Move all terms containing x to the left, all other terms to the right.

Add '14' to each side of the equation.
-14 + 14 + -9x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -9x = 0 + 14
-9x = 0 + 14

Combine like terms: 0 + 14 = 14
-9x = 14

Divide each side by '-9'.
x = -1.555555556

Simplifying
x = -1.555555556

Subproblem 2
Set the factor '(8 + -7x)' equal to zero and attempt to solve:

Simplifying
8 + -7x = 0

Solving
8 + -7x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + -7x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -7x = 0 + -8
-7x = 0 + -8

Combine like terms: 0 + -8 = -8
-7x = -8

Divide each side by '-7'.
x = 1.142857143

Simplifying
x = 1.142857143
Solution
x = {-1.555555556, 1.142857143}

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