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Simplifying -100 = x2 + -29x Reorder the terms: -100 = -29x + x2 Solving -100 = -29x + x2 Solving for variable 'x'. Reorder the terms: -100 + 29x + -1x2 = -29x + 29x + x2 + -1x2 Combine like terms: -29x + 29x = 0 -100 + 29x + -1x2 = 0 + x2 + -1x2 -100 + 29x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -100 + 29x + -1x2 = 0 Factor a trinomial. (-25 + x)(4 + -1x) = 0Subproblem 1
Set the factor '(-25 + x)' equal to zero and attempt to solve: Simplifying -25 + x = 0 Solving -25 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + x = 0 + 25 Combine like terms: -25 + 25 = 0 0 + x = 0 + 25 x = 0 + 25 Combine like terms: 0 + 25 = 25 x = 25 Simplifying x = 25Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {25, 4}
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