(10x-6)*(10x+7)=

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Solution for (10x-6)*(10x+7)= equation: 


Simplifying
(10x + -6)(10x + 7) = 0

Reorder the terms:
(-6 + 10x)(10x + 7) = 0

Reorder the terms:
(-6 + 10x)(7 + 10x) = 0

Multiply (-6 + 10x) * (7 + 10x)
(-6(7 + 10x) + 10x * (7 + 10x)) = 0
((7 * -6 + 10x * -6) + 10x * (7 + 10x)) = 0
((-42 + -60x) + 10x * (7 + 10x)) = 0
(-42 + -60x + (7 * 10x + 10x * 10x)) = 0
(-42 + -60x + (70x + 100x2)) = 0

Combine like terms: -60x + 70x = 10x
(-42 + 10x + 100x2) = 0

Solving
-42 + 10x + 100x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-21 + 5x + 50x2) = 0

Factor a trinomial.
2((-7 + -10x)(3 + -5x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-7 + -10x)' equal to zero and attempt to solve:

Simplifying
-7 + -10x = 0

Solving
-7 + -10x = 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 + -10x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -10x = 0 + 7
-10x = 0 + 7

Combine like terms: 0 + 7 = 7
-10x = 7

Divide each side by '-10'.
x = -0.7

Simplifying
x = -0.7

Subproblem 2
Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 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 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -5x = 0 + -3
-5x = 0 + -3

Combine like terms: 0 + -3 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {-0.7, 0.6}

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