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Simplifying X2 + -10x2 + 9 = 0 Reorder the terms: 9 + X2 + -10x2 = 0 Solving 9 + X2 + -10x2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + X2 + -9 + -10x2 = 0 + -9 Reorder the terms: 9 + -9 + X2 + -10x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + X2 + -10x2 = 0 + -9 X2 + -10x2 = 0 + -9 Combine like terms: 0 + -9 = -9 X2 + -10x2 = -9 Add '10x2' to each side of the equation. X2 + -10x2 + 10x2 = -9 + 10x2 Combine like terms: -10x2 + 10x2 = 0 X2 + 0 = -9 + 10x2 X2 = -9 + 10x2 Simplifying X2 = -9 + 10x2 Reorder the terms: 9 + X2 + -10x2 = -9 + 10x2 + 9 + -10x2 Reorder the terms: 9 + X2 + -10x2 = -9 + 9 + 10x2 + -10x2 Combine like terms: -9 + 9 = 0 9 + X2 + -10x2 = 0 + 10x2 + -10x2 9 + X2 + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 9 + X2 + -10x2 = 0 Factor a trinomial. (X + -1x)(X + 10x) = 0Subproblem 1
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 = xSubproblem 2
Set the factor '(X + 10x)' equal to zero and attempt to solve: Simplifying X + 10x = 0 Solving X + 10x = 0 Move all terms containing X to the left, all other terms to the right. Add '-10x' to each side of the equation. X + 10x + -10x = 0 + -10x Combine like terms: 10x + -10x = 0 X + 0 = 0 + -10x X = 0 + -10x Remove the zero: X = -10x Simplifying X = -10xSolution
X = {x, -10x}
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