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Simplifying
4x2 + -8x = 11 + x2 + -8x + 16
Reorder the terms:
-8x + 4x2 = 11 + x2 + -8x + 16
Reorder the terms:
-8x + 4x2 = 11 + 16 + -8x + x2
Combine like terms: 11 + 16 = 27
-8x + 4x2 = 27 + -8x + x2
Add '8x' to each side of the equation.
-8x + 8x + 4x2 = 27 + -8x + 8x + x2
Combine like terms: -8x + 8x = 0
0 + 4x2 = 27 + -8x + 8x + x2
4x2 = 27 + -8x + 8x + x2
Combine like terms: -8x + 8x = 0
4x2 = 27 + 0 + x2
4x2 = 27 + x2
Solving
4x2 = 27 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
4x2 + -1x2 = 27 + x2 + -1x2
Combine like terms: 4x2 + -1x2 = 3x2
3x2 = 27 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
3x2 = 27 + 0
3x2 = 27
Divide each side by '3'.
x2 = 9
Simplifying
x2 = 9
Take the square root of each side:
x = {-3, 3}
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