(8x+9)(7-6x)=0

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Solution for (8x+9)(7-6x)=0 equation: 


Simplifying
(8x + 9)(7 + -6x) = 0

Reorder the terms:
(9 + 8x)(7 + -6x) = 0

Multiply (9 + 8x) * (7 + -6x)
(9(7 + -6x) + 8x * (7 + -6x)) = 0
((7 * 9 + -6x * 9) + 8x * (7 + -6x)) = 0
((63 + -54x) + 8x * (7 + -6x)) = 0
(63 + -54x + (7 * 8x + -6x * 8x)) = 0
(63 + -54x + (56x + -48x2)) = 0

Combine like terms: -54x + 56x = 2x
(63 + 2x + -48x2) = 0

Solving
63 + 2x + -48x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -6x)(9 + 8x) = 0


Subproblem 1
Set the factor '(7 + -6x)' equal to zero and attempt to solve:

Simplifying
7 + -6x = 0

Solving
7 + -6x = 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 + -6x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = 0 + -7
-6x = 0 + -7

Combine like terms: 0 + -7 = -7
-6x = -7

Divide each side by '-6'.
x = 1.166666667

Simplifying
x = 1.166666667

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 = {1.166666667, -1.125}

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