(7x-2)(6x+9)=

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Solution for (7x-2)(6x+9)= equation: 


Simplifying
(7x + -2)(6x + 9) = 0

Reorder the terms:
(-2 + 7x)(6x + 9) = 0

Reorder the terms:
(-2 + 7x)(9 + 6x) = 0

Multiply (-2 + 7x) * (9 + 6x)
(-2(9 + 6x) + 7x * (9 + 6x)) = 0
((9 * -2 + 6x * -2) + 7x * (9 + 6x)) = 0
((-18 + -12x) + 7x * (9 + 6x)) = 0
(-18 + -12x + (9 * 7x + 6x * 7x)) = 0
(-18 + -12x + (63x + 42x2)) = 0

Combine like terms: -12x + 63x = 51x
(-18 + 51x + 42x2) = 0

Solving
-18 + 51x + 42x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-6 + 17x + 14x2) = 0

Factor a trinomial.
3((-3 + -2x)(2 + -7x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying
-3 + -2x = 0

Solving
-3 + -2x = 0

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

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

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

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

Divide each side by '-2'.
x = -1.5

Simplifying
x = -1.5

Subproblem 2
Set the factor '(2 + -7x)' equal to zero and attempt to solve:

Simplifying
2 + -7x = 0

Solving
2 + -7x = 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 + -7x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -7x = 0 + -2
-7x = 0 + -2

Combine like terms: 0 + -2 = -2
-7x = -2

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
Solution
x = {-1.5, 0.2857142857}

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