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Simplifying
x2 + 9 = 5x2 + -10
Reorder the terms:
9 + x2 = 5x2 + -10
Reorder the terms:
9 + x2 = -10 + 5x2
Solving
9 + x2 = -10 + 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.
9 + x2 + -5x2 = -10 + 5x2 + -5x2
Combine like terms: x2 + -5x2 = -4x2
9 + -4x2 = -10 + 5x2 + -5x2
Combine like terms: 5x2 + -5x2 = 0
9 + -4x2 = -10 + 0
9 + -4x2 = -10
Add '-9' to each side of the equation.
9 + -9 + -4x2 = -10 + -9
Combine like terms: 9 + -9 = 0
0 + -4x2 = -10 + -9
-4x2 = -10 + -9
Combine like terms: -10 + -9 = -19
-4x2 = -19
Divide each side by '-4'.
x2 = 4.75
Simplifying
x2 = 4.75
Take the square root of each side:
x = {-2.179449472, 2.179449472}
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