(10x)(10x)+7-12=0

Solution for (10x)(10x)+7-12=0 equation:

Simplifying
(10x)(10x) + 7 + -12 = 0

Remove parenthesis around (10x)
10x(10x) + 7 + -12 = 0

Remove parenthesis around (10x)
10x * 10x + 7 + -12 = 0

Reorder the terms for easier multiplication:
10 * 10x * x + 7 + -12 = 0

Multiply 10 * 10
100x * x + 7 + -12 = 0

Multiply x * x
100x2 + 7 + -12 = 0

Reorder the terms:
7 + -12 + 100x2 = 0

Combine like terms: 7 + -12 = -5
-5 + 100x2 = 0

Solving
-5 + 100x2 = 0

Solving for variable 'x'.

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

Add '5' to each side of the equation.
-5 + 5 + 100x2 = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 100x2 = 0 + 5
100x2 = 0 + 5

Combine like terms: 0 + 5 = 5
100x2 = 5

Divide each side by '100'.
x2 = 0.05

Simplifying
x2 = 0.05

Take the square root of each side:
x = {-0.223606798, 0.223606798}