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Simplifying
-2x2 + 45 = 9x2 + -76
Reorder the terms:
45 + -2x2 = 9x2 + -76
Reorder the terms:
45 + -2x2 = -76 + 9x2
Solving
45 + -2x2 = -76 + 9x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x2' to each side of the equation.
45 + -2x2 + -9x2 = -76 + 9x2 + -9x2
Combine like terms: -2x2 + -9x2 = -11x2
45 + -11x2 = -76 + 9x2 + -9x2
Combine like terms: 9x2 + -9x2 = 0
45 + -11x2 = -76 + 0
45 + -11x2 = -76
Add '-45' to each side of the equation.
45 + -45 + -11x2 = -76 + -45
Combine like terms: 45 + -45 = 0
0 + -11x2 = -76 + -45
-11x2 = -76 + -45
Combine like terms: -76 + -45 = -121
-11x2 = -121
Divide each side by '-11'.
x2 = 11
Simplifying
x2 = 11
Take the square root of each side:
x = {-3.31662479, 3.31662479}
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