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Simplifying 200 = x2 + -48x + 751 Reorder the terms: 200 = 751 + -48x + x2 Solving 200 = 751 + -48x + x2 Solving for variable 'x'. Combine like terms: 200 + -751 = -551 -551 + 48x + -1x2 = 751 + -48x + x2 + -751 + 48x + -1x2 Reorder the terms: -551 + 48x + -1x2 = 751 + -751 + -48x + 48x + x2 + -1x2 Combine like terms: 751 + -751 = 0 -551 + 48x + -1x2 = 0 + -48x + 48x + x2 + -1x2 -551 + 48x + -1x2 = -48x + 48x + x2 + -1x2 Combine like terms: -48x + 48x = 0 -551 + 48x + -1x2 = 0 + x2 + -1x2 -551 + 48x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -551 + 48x + -1x2 = 0 Factor a trinomial. (-29 + x)(19 + -1x) = 0Subproblem 1
Set the factor '(-29 + x)' equal to zero and attempt to solve: Simplifying -29 + x = 0 Solving -29 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + x = 0 + 29 Combine like terms: -29 + 29 = 0 0 + x = 0 + 29 x = 0 + 29 Combine like terms: 0 + 29 = 29 x = 29 Simplifying x = 29Subproblem 2
Set the factor '(19 + -1x)' equal to zero and attempt to solve: Simplifying 19 + -1x = 0 Solving 19 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + -1x = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -1x = 0 + -19 -1x = 0 + -19 Combine like terms: 0 + -19 = -19 -1x = -19 Divide each side by '-1'. x = 19 Simplifying x = 19Solution
x = {29, 19}
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