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Simplifying X * X + -7 = (X * x) + -6X + -7 Multiply X * X X2 + -7 = (X * x) + -6X + -7 Reorder the terms: -7 + X2 = (X * x) + -6X + -7 Multiply X * x -7 + X2 = (xX) + -6X + -7 -7 + X2 = xX + -6X + -7 Reorder the terms: -7 + X2 = -7 + -6X + xX Add '7' to each side of the equation. -7 + 7 + X2 = -7 + -6X + 7 + xX Combine like terms: -7 + 7 = 0 0 + X2 = -7 + -6X + 7 + xX X2 = -7 + -6X + 7 + xX Reorder the terms: X2 = -7 + 7 + -6X + xX Combine like terms: -7 + 7 = 0 X2 = 0 + -6X + xX X2 = -6X + xX Solving X2 = -6X + xX Solving for variable 'X'. Reorder the terms: 6X + X2 + -1xX = -6X + xX + 6X + -1xX Reorder the terms: 6X + X2 + -1xX = -6X + 6X + xX + -1xX Combine like terms: -6X + 6X = 0 6X + X2 + -1xX = 0 + xX + -1xX 6X + X2 + -1xX = xX + -1xX Combine like terms: xX + -1xX = 0 6X + X2 + -1xX = 0 Factor out the Greatest Common Factor (GCF), 'X'. X(6 + X + -1x) = 0Subproblem 1
Set the factor 'X' equal to zero and attempt to solve: Simplifying X = 0 Solving X = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X = 0Subproblem 2
Set the factor '(6 + X + -1x)' equal to zero and attempt to solve: Simplifying 6 + X + -1x = 0 Solving 6 + X + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + X + -6 + -1x = 0 + -6 Reorder the terms: 6 + -6 + X + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + X + -1x = 0 + -6 X + -1x = 0 + -6 Combine like terms: 0 + -6 = -6 X + -1x = -6 Add 'x' to each side of the equation. X + -1x + x = -6 + x Combine like terms: -1x + x = 0 X + 0 = -6 + x X = -6 + x Simplifying X = -6 + xSolution
X = {0, -6 + x}
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