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Simplifying X2 + 9 + -2x2 + 6 = 16 Reorder the terms: 9 + 6 + X2 + -2x2 = 16 Combine like terms: 9 + 6 = 15 15 + X2 + -2x2 = 16 Solving 15 + X2 + -2x2 = 16 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + X2 + -15 + -2x2 = 16 + -15 Reorder the terms: 15 + -15 + X2 + -2x2 = 16 + -15 Combine like terms: 15 + -15 = 0 0 + X2 + -2x2 = 16 + -15 X2 + -2x2 = 16 + -15 Combine like terms: 16 + -15 = 1 X2 + -2x2 = 1 Add '2x2' to each side of the equation. X2 + -2x2 + 2x2 = 1 + 2x2 Combine like terms: -2x2 + 2x2 = 0 X2 + 0 = 1 + 2x2 X2 = 1 + 2x2 Simplifying X2 = 1 + 2x2 Reorder the terms: -1 + X2 + -2x2 = 1 + 2x2 + -1 + -2x2 Reorder the terms: -1 + X2 + -2x2 = 1 + -1 + 2x2 + -2x2 Combine like terms: 1 + -1 = 0 -1 + X2 + -2x2 = 0 + 2x2 + -2x2 -1 + X2 + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -1 + X2 + -2x2 = 0 Factor a trinomial. (X + -2x)(X + x) = 0Subproblem 1
Set the factor '(X + -2x)' equal to zero and attempt to solve: Simplifying X + -2x = 0 Solving X + -2x = 0 Move all terms containing X to the left, all other terms to the right. Add '2x' to each side of the equation. X + -2x + 2x = 0 + 2x Combine like terms: -2x + 2x = 0 X + 0 = 0 + 2x X = 0 + 2x Remove the zero: X = 2x Simplifying X = 2xSubproblem 2
Set the factor '(X + x)' equal to zero and attempt to solve: Simplifying X + x = 0 Solving X + x = 0 Move all terms containing X to the left, all other terms to the right. Add '-1x' to each side of the equation. X + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 X + 0 = 0 + -1x X = 0 + -1x Remove the zero: X = -1x Simplifying X = -1xSolution
X = {2x, -1x}
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