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Simplifying
7x2 + -12x2 + 5 = 0
Reorder the terms:
5 + 7x2 + -12x2 = 0
Combine like terms: 7x2 + -12x2 = -5x2
5 + -5x2 = 0
Solving
5 + -5x2 = 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 + -5x2 = 0 + -5
Combine like terms: 5 + -5 = 0
0 + -5x2 = 0 + -5
-5x2 = 0 + -5
Combine like terms: 0 + -5 = -5
-5x2 = -5
Divide each side by '-5'.
x2 = 1
Simplifying
x2 = 1
Take the square root of each side:
x = {-1, 1}
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