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Simplifying X2 + -18 = -2x2 + -15 Reorder the terms: -18 + X2 = -2x2 + -15 Reorder the terms: -18 + X2 = -15 + -2x2 Solving -18 + X2 = -15 + -2x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + X2 = -15 + 18 + -2x2 Combine like terms: -18 + 18 = 0 0 + X2 = -15 + 18 + -2x2 X2 = -15 + 18 + -2x2 Combine like terms: -15 + 18 = 3 X2 = 3 + -2x2 Simplifying X2 = 3 + -2x2 Reorder the terms: -3 + X2 + 2x2 = 3 + -2x2 + -3 + 2x2 Reorder the terms: -3 + X2 + 2x2 = 3 + -3 + -2x2 + 2x2 Combine like terms: 3 + -3 = 0 -3 + X2 + 2x2 = 0 + -2x2 + 2x2 -3 + X2 + 2x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 -3 + X2 + 2x2 = 0 Factor a trinomial. (X + -2x)(X + -1x) = 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 + -1x)' equal to zero and attempt to solve: Simplifying X + -1x = 0 Solving X + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add 'x' to each side of the equation. X + -1x + x = 0 + x Combine like terms: -1x + x = 0 X + 0 = 0 + x X = 0 + x Remove the zero: X = x Simplifying X = xSolution
X = {2x, x}
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