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Simplifying
12x2 + 42 = 15x2 + 15
Reorder the terms:
42 + 12x2 = 15x2 + 15
Reorder the terms:
42 + 12x2 = 15 + 15x2
Solving
42 + 12x2 = 15 + 15x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-15x2' to each side of the equation.
42 + 12x2 + -15x2 = 15 + 15x2 + -15x2
Combine like terms: 12x2 + -15x2 = -3x2
42 + -3x2 = 15 + 15x2 + -15x2
Combine like terms: 15x2 + -15x2 = 0
42 + -3x2 = 15 + 0
42 + -3x2 = 15
Add '-42' to each side of the equation.
42 + -42 + -3x2 = 15 + -42
Combine like terms: 42 + -42 = 0
0 + -3x2 = 15 + -42
-3x2 = 15 + -42
Combine like terms: 15 + -42 = -27
-3x2 = -27
Divide each side by '-3'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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