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Simplifying X2(X2 + -1x + 7) = 0 Reorder the terms: X2(7 + X2 + -1x) = 0 (7 * X2 + X2 * X2 + -1x * X2) = 0 (7X2 + X4 + -1xX2) = 0 Solving 7X2 + X4 + -1xX2 = 0 Solving for variable 'X'. Factor out the Greatest Common Factor (GCF), 'X2'. X2(7 + X2 + -1x) = 0Subproblem 1
Set the factor 'X2' equal to zero and attempt to solve: Simplifying X2 = 0 Solving X2 = 0 Move all terms containing X to the left, all other terms to the right. Simplifying X2 = 0 Take the square root of each side: X = {0}Subproblem 2
Set the factor '(7 + X2 + -1x)' equal to zero and attempt to solve: Simplifying 7 + X2 + -1x = 0 Solving 7 + X2 + -1x = 0 Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + X2 + -7 + -1x = 0 + -7 Reorder the terms: 7 + -7 + X2 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + X2 + -1x = 0 + -7 X2 + -1x = 0 + -7 Combine like terms: 0 + -7 = -7 X2 + -1x = -7 Add 'x' to each side of the equation. X2 + -1x + x = -7 + x Combine like terms: -1x + x = 0 X2 + 0 = -7 + x X2 = -7 + x Simplifying X2 = -7 + x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
X = {0}
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