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Simplifying -147 = x2 + -28x Reorder the terms: -147 = -28x + x2 Solving -147 = -28x + x2 Solving for variable 'x'. Reorder the terms: -147 + 28x + -1x2 = -28x + 28x + x2 + -1x2 Combine like terms: -28x + 28x = 0 -147 + 28x + -1x2 = 0 + x2 + -1x2 -147 + 28x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -147 + 28x + -1x2 = 0 Factor a trinomial. (-21 + x)(7 + -1x) = 0Subproblem 1
Set the factor '(-21 + x)' equal to zero and attempt to solve: Simplifying -21 + x = 0 Solving -21 + x = 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 + x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + x = 0 + 21 x = 0 + 21 Combine like terms: 0 + 21 = 21 x = 21 Simplifying x = 21Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -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 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {21, 7}
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