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Simplifying
x2 + 10 = 4x2 + -8
Reorder the terms:
10 + x2 = 4x2 + -8
Reorder the terms:
10 + x2 = -8 + 4x2
Solving
10 + x2 = -8 + 4x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-4x2' to each side of the equation.
10 + x2 + -4x2 = -8 + 4x2 + -4x2
Combine like terms: x2 + -4x2 = -3x2
10 + -3x2 = -8 + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
10 + -3x2 = -8 + 0
10 + -3x2 = -8
Add '-10' to each side of the equation.
10 + -10 + -3x2 = -8 + -10
Combine like terms: 10 + -10 = 0
0 + -3x2 = -8 + -10
-3x2 = -8 + -10
Combine like terms: -8 + -10 = -18
-3x2 = -18
Divide each side by '-3'.
x2 = 6
Simplifying
x2 = 6
Take the square root of each side:
x = {-2.449489743, 2.449489743}
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