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Simplifying 7 = x2 + -21x + 7 Reorder the terms: 7 = 7 + -21x + x2 Add '-7' to each side of the equation. 7 + -7 = 7 + -21x + -7 + x2 Combine like terms: 7 + -7 = 0 0 = 7 + -21x + -7 + x2 Reorder the terms: 0 = 7 + -7 + -21x + x2 Combine like terms: 7 + -7 = 0 0 = 0 + -21x + x2 0 = -21x + x2 Solving 0 = -21x + x2 Solving for variable 'x'. Remove the zero: 21x + -1x2 = -21x + x2 + 21x + -1x2 Reorder the terms: 21x + -1x2 = -21x + 21x + x2 + -1x2 Combine like terms: -21x + 21x = 0 21x + -1x2 = 0 + x2 + -1x2 21x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 21x + -1x2 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(21 + -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 '(21 + -1x)' equal to zero and attempt to solve: Simplifying 21 + -1x = 0 Solving 21 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + -1x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = 0 + -21 -1x = 0 + -21 Combine like terms: 0 + -21 = -21 -1x = -21 Divide each side by '-1'. x = 21 Simplifying x = 21Solution
x = {0, 21}
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