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