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Simplifying X2 + 7x = 8x2 Solving X2 + 7x = 8x2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7x' to each side of the equation. X2 + 7x + -7x = -7x + 8x2 Combine like terms: 7x + -7x = 0 X2 + 0 = -7x + 8x2 X2 = -7x + 8x2 Simplifying X2 = -7x + 8x2 Reorder the terms: X2 + 7x + -8x2 = -7x + 7x + 8x2 + -8x2 Combine like terms: -7x + 7x = 0 X2 + 7x + -8x2 = 0 + 8x2 + -8x2 X2 + 7x + -8x2 = 8x2 + -8x2 Combine like terms: 8x2 + -8x2 = 0 X2 + 7x + -8x2 = 0 Factor a trinomial. (X + -1x)(X + 8x) = 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 + 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 = -8xSolution
X = {x, -8x}
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