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Simplifying
4x2 + 8 = 3x2 + 71
Reorder the terms:
8 + 4x2 = 3x2 + 71
Reorder the terms:
8 + 4x2 = 71 + 3x2
Solving
8 + 4x2 = 71 + 3x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x2' to each side of the equation.
8 + 4x2 + -3x2 = 71 + 3x2 + -3x2
Combine like terms: 4x2 + -3x2 = 1x2
8 + 1x2 = 71 + 3x2 + -3x2
Combine like terms: 3x2 + -3x2 = 0
8 + 1x2 = 71 + 0
8 + 1x2 = 71
Add '-8' to each side of the equation.
8 + -8 + 1x2 = 71 + -8
Combine like terms: 8 + -8 = 0
0 + 1x2 = 71 + -8
1x2 = 71 + -8
Combine like terms: 71 + -8 = 63
1x2 = 63
Divide each side by '1'.
x2 = 63
Simplifying
x2 = 63
Take the square root of each side:
x = {-7.937253933, 7.937253933}
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