-9[(7x-5)(6x-2)]=

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Solution for -9[(7x-5)(6x-2)]= equation:


Simplifying
-9[(7x + -5)(6x + -2)] = 0

Reorder the terms:
-9[(-5 + 7x)(6x + -2)] = 0

Reorder the terms:
-9[(-5 + 7x)(-2 + 6x)] = 0

Multiply (-5 + 7x) * (-2 + 6x)
-9[(-5(-2 + 6x) + 7x * (-2 + 6x))] = 0
-9[((-2 * -5 + 6x * -5) + 7x * (-2 + 6x))] = 0
-9[((10 + -30x) + 7x * (-2 + 6x))] = 0
-9[(10 + -30x + (-2 * 7x + 6x * 7x))] = 0
-9[(10 + -30x + (-14x + 42x2))] = 0

Combine like terms: -30x + -14x = -44x
-9[(10 + -44x + 42x2)] = 0
[10 * -9 + -44x * -9 + 42x2 * -9] = 0
[-90 + 396x + -378x2] = 0

Solving
-90 + 396x + -378x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '18'.
18(-5 + 22x + -21x2) = 0

Factor a trinomial.
18((-5 + 7x)(1 + -3x)) = 0

Ignore the factor 18.

Subproblem 1
Set the factor '(-5 + 7x)' equal to zero and attempt to solve:

Simplifying
-5 + 7x = 0

Solving
-5 + 7x = 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 + 7x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 7x = 0 + 5
7x = 0 + 5

Combine like terms: 0 + 5 = 5
7x = 5

Divide each side by '7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -3x = 0 + -1
-3x = 0 + -1

Combine like terms: 0 + -1 = -1
-3x = -1

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {0.7142857143, 0.3333333333}

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