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Simplifying
2x2 + 7 = x2 + 12
Reorder the terms:
7 + 2x2 = x2 + 12
Reorder the terms:
7 + 2x2 = 12 + x2
Solving
7 + 2x2 = 12 + 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.
7 + 2x2 + -1x2 = 12 + x2 + -1x2
Combine like terms: 2x2 + -1x2 = 1x2
7 + 1x2 = 12 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
7 + 1x2 = 12 + 0
7 + 1x2 = 12
Add '-7' to each side of the equation.
7 + -7 + 1x2 = 12 + -7
Combine like terms: 7 + -7 = 0
0 + 1x2 = 12 + -7
1x2 = 12 + -7
Combine like terms: 12 + -7 = 5
1x2 = 5
Divide each side by '1'.
x2 = 5
Simplifying
x2 = 5
Take the square root of each side:
x = {-2.236067978, 2.236067978}
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