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Simplifying
4x2 + 15 = 5x2 + -9
Reorder the terms:
15 + 4x2 = 5x2 + -9
Reorder the terms:
15 + 4x2 = -9 + 5x2
Solving
15 + 4x2 = -9 + 5x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x2' to each side of the equation.
15 + 4x2 + -5x2 = -9 + 5x2 + -5x2
Combine like terms: 4x2 + -5x2 = -1x2
15 + -1x2 = -9 + 5x2 + -5x2
Combine like terms: 5x2 + -5x2 = 0
15 + -1x2 = -9 + 0
15 + -1x2 = -9
Add '-15' to each side of the equation.
15 + -15 + -1x2 = -9 + -15
Combine like terms: 15 + -15 = 0
0 + -1x2 = -9 + -15
-1x2 = -9 + -15
Combine like terms: -9 + -15 = -24
-1x2 = -24
Divide each side by '-1'.
x2 = 24
Simplifying
x2 = 24
Take the square root of each side:
x = {-4.898979486, 4.898979486}
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