(-2x+5)(9x-6)=

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Solution for (-2x+5)(9x-6)= equation: 


Simplifying
(-2x + 5)(9x + -6) = 0

Reorder the terms:
(5 + -2x)(9x + -6) = 0

Reorder the terms:
(5 + -2x)(-6 + 9x) = 0

Multiply (5 + -2x) * (-6 + 9x)
(5(-6 + 9x) + -2x * (-6 + 9x)) = 0
((-6 * 5 + 9x * 5) + -2x * (-6 + 9x)) = 0
((-30 + 45x) + -2x * (-6 + 9x)) = 0
(-30 + 45x + (-6 * -2x + 9x * -2x)) = 0
(-30 + 45x + (12x + -18x2)) = 0

Combine like terms: 45x + 12x = 57x
(-30 + 57x + -18x2) = 0

Solving
-30 + 57x + -18x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-10 + 19x + -6x2) = 0

Factor a trinomial.
3((-5 + 2x)(2 + -3x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-5 + 2x)' equal to zero and attempt to solve:

Simplifying
-5 + 2x = 0

Solving
-5 + 2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 0 + 5
2x = 0 + 5

Combine like terms: 0 + 5 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve:

Simplifying
2 + -3x = 0

Solving
2 + -3x = 0

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

Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {2.5, 0.6666666667}

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