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Simplifying x(x + -7) = 588 Reorder the terms: x(-7 + x) = 588 (-7 * x + x * x) = 588 (-7x + x2) = 588 Solving -7x + x2 = 588 Solving for variable 'x'. Reorder the terms: -588 + -7x + x2 = 588 + -588 Combine like terms: 588 + -588 = 0 -588 + -7x + x2 = 0 Factor a trinomial. (-21 + -1x)(28 + -1x) = 0Subproblem 1
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 = -21Subproblem 2
Set the factor '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28Solution
x = {-21, 28}
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