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

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


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

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

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

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

Combine like terms: -35x + 54x = 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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