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Simplifying
x2 + -10x + 25 + 4x2 + 12x + 9 = x2 + 2x + 1 + 97
Reorder the terms:
25 + 9 + -10x + 12x + x2 + 4x2 = x2 + 2x + 1 + 97
Combine like terms: 25 + 9 = 34
34 + -10x + 12x + x2 + 4x2 = x2 + 2x + 1 + 97
Combine like terms: -10x + 12x = 2x
34 + 2x + x2 + 4x2 = x2 + 2x + 1 + 97
Combine like terms: x2 + 4x2 = 5x2
34 + 2x + 5x2 = x2 + 2x + 1 + 97
Reorder the terms:
34 + 2x + 5x2 = 1 + 97 + 2x + x2
Combine like terms: 1 + 97 = 98
34 + 2x + 5x2 = 98 + 2x + x2
Add '-2x' to each side of the equation.
34 + 2x + -2x + 5x2 = 98 + 2x + -2x + x2
Combine like terms: 2x + -2x = 0
34 + 0 + 5x2 = 98 + 2x + -2x + x2
34 + 5x2 = 98 + 2x + -2x + x2
Combine like terms: 2x + -2x = 0
34 + 5x2 = 98 + 0 + x2
34 + 5x2 = 98 + x2
Solving
34 + 5x2 = 98 + 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.
34 + 5x2 + -1x2 = 98 + x2 + -1x2
Combine like terms: 5x2 + -1x2 = 4x2
34 + 4x2 = 98 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
34 + 4x2 = 98 + 0
34 + 4x2 = 98
Add '-34' to each side of the equation.
34 + -34 + 4x2 = 98 + -34
Combine like terms: 34 + -34 = 0
0 + 4x2 = 98 + -34
4x2 = 98 + -34
Combine like terms: 98 + -34 = 64
4x2 = 64
Divide each side by '4'.
x2 = 16
Simplifying
x2 = 16
Take the square root of each side:
x = {-4, 4}
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