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Simplifying X2 + 8x2 + -9 = 0 Reorder the terms: -9 + X2 + 8x2 = 0 Solving -9 + X2 + 8x2 = 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 + 8x2 = 0 + 9 Reorder the terms: -9 + 9 + X2 + 8x2 = 0 + 9 Combine like terms: -9 + 9 = 0 0 + X2 + 8x2 = 0 + 9 X2 + 8x2 = 0 + 9 Combine like terms: 0 + 9 = 9 X2 + 8x2 = 9 Add '-8x2' to each side of the equation. X2 + 8x2 + -8x2 = 9 + -8x2 Combine like terms: 8x2 + -8x2 = 0 X2 + 0 = 9 + -8x2 X2 = 9 + -8x2 Simplifying X2 = 9 + -8x2 Reorder the terms: -9 + X2 + 8x2 = 9 + -8x2 + -9 + 8x2 Reorder the terms: -9 + X2 + 8x2 = 9 + -9 + -8x2 + 8x2 Combine like terms: 9 + -9 = 0 -9 + X2 + 8x2 = 0 + -8x2 + 8x2 -9 + X2 + 8x2 = -8x2 + 8x2 Combine like terms: -8x2 + 8x2 = 0 -9 + X2 + 8x2 = 0 Factor a trinomial. (X + -8x)(X + -1x) = 0Subproblem 1
Set the factor '(X + -8x)' equal to zero and attempt to solve: Simplifying X + -8x = 0 Solving X + -8x = 0 Move all terms containing X to the left, all other terms to the right. Add '8x' to each side of the equation. X + -8x + 8x = 0 + 8x Combine like terms: -8x + 8x = 0 X + 0 = 0 + 8x X = 0 + 8x Remove the zero: X = 8x Simplifying X = 8xSubproblem 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 = {8x, x}
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