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Simplifying
x2 + -7 = 7 + -12x2
Reorder the terms:
-7 + x2 = 7 + -12x2
Solving
-7 + x2 = 7 + -12x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12x2' to each side of the equation.
-7 + x2 + 12x2 = 7 + -12x2 + 12x2
Combine like terms: x2 + 12x2 = 13x2
-7 + 13x2 = 7 + -12x2 + 12x2
Combine like terms: -12x2 + 12x2 = 0
-7 + 13x2 = 7 + 0
-7 + 13x2 = 7
Add '7' to each side of the equation.
-7 + 7 + 13x2 = 7 + 7
Combine like terms: -7 + 7 = 0
0 + 13x2 = 7 + 7
13x2 = 7 + 7
Combine like terms: 7 + 7 = 14
13x2 = 14
Divide each side by '13'.
x2 = 1.076923077
Simplifying
x2 = 1.076923077
Take the square root of each side:
x = {-1.037749043, 1.037749043}
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