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Simplifying
4x2 + -12 = x2 + 63
Reorder the terms:
-12 + 4x2 = x2 + 63
Reorder the terms:
-12 + 4x2 = 63 + x2
Solving
-12 + 4x2 = 63 + 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.
-12 + 4x2 + -1x2 = 63 + x2 + -1x2
Combine like terms: 4x2 + -1x2 = 3x2
-12 + 3x2 = 63 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-12 + 3x2 = 63 + 0
-12 + 3x2 = 63
Add '12' to each side of the equation.
-12 + 12 + 3x2 = 63 + 12
Combine like terms: -12 + 12 = 0
0 + 3x2 = 63 + 12
3x2 = 63 + 12
Combine like terms: 63 + 12 = 75
3x2 = 75
Divide each side by '3'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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