(5x-9)(6x+7)=0

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Solution for (5x-9)(6x+7)=0 equation: 


Simplifying
(5x + -9)(6x + 7) = 0

Reorder the terms:
(-9 + 5x)(6x + 7) = 0

Reorder the terms:
(-9 + 5x)(7 + 6x) = 0

Multiply (-9 + 5x) * (7 + 6x)
(-9(7 + 6x) + 5x * (7 + 6x)) = 0
((7 * -9 + 6x * -9) + 5x * (7 + 6x)) = 0
((-63 + -54x) + 5x * (7 + 6x)) = 0
(-63 + -54x + (7 * 5x + 6x * 5x)) = 0
(-63 + -54x + (35x + 30x2)) = 0

Combine like terms: -54x + 35x = -19x
(-63 + -19x + 30x2) = 0

Solving
-63 + -19x + 30x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -6x)(9 + -5x) = 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 + -5x)' equal to zero and attempt to solve:

Simplifying
9 + -5x = 0

Solving
9 + -5x = 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 + -5x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -5x = 0 + -9
-5x = 0 + -9

Combine like terms: 0 + -9 = -9
-5x = -9

Divide each side by '-5'.
x = 1.8

Simplifying
x = 1.8
Solution
x = {-1.166666667, 1.8}

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