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


Subproblem 1
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

Subproblem 2
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
Solution
x = {-1.8, 1.166666667}

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