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Simplifying
-3x2 + 27 = -2x2 + 18
Reorder the terms:
27 + -3x2 = -2x2 + 18
Reorder the terms:
27 + -3x2 = 18 + -2x2
Solving
27 + -3x2 = 18 + -2x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2x2' to each side of the equation.
27 + -3x2 + 2x2 = 18 + -2x2 + 2x2
Combine like terms: -3x2 + 2x2 = -1x2
27 + -1x2 = 18 + -2x2 + 2x2
Combine like terms: -2x2 + 2x2 = 0
27 + -1x2 = 18 + 0
27 + -1x2 = 18
Add '-27' to each side of the equation.
27 + -27 + -1x2 = 18 + -27
Combine like terms: 27 + -27 = 0
0 + -1x2 = 18 + -27
-1x2 = 18 + -27
Combine like terms: 18 + -27 = -9
-1x2 = -9
Divide each side by '-1'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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