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Simplifying -3x2 + 228x + -1000 = 2900 Reorder the terms: -1000 + 228x + -3x2 = 2900 Solving -1000 + 228x + -3x2 = 2900 Solving for variable 'x'. Reorder the terms: -1000 + -2900 + 228x + -3x2 = 2900 + -2900 Combine like terms: -1000 + -2900 = -3900 -3900 + 228x + -3x2 = 2900 + -2900 Combine like terms: 2900 + -2900 = 0 -3900 + 228x + -3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1300 + 76x + -1x2) = 0 Factor a trinomial. 3((-50 + x)(26 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-50 + x)' equal to zero and attempt to solve: Simplifying -50 + x = 0 Solving -50 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + x = 0 + 50 x = 0 + 50 Combine like terms: 0 + 50 = 50 x = 50 Simplifying x = 50Subproblem 2
Set the factor '(26 + -1x)' equal to zero and attempt to solve: Simplifying 26 + -1x = 0 Solving 26 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -1x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -1x = 0 + -26 -1x = 0 + -26 Combine like terms: 0 + -26 = -26 -1x = -26 Divide each side by '-1'. x = 26 Simplifying x = 26Solution
x = {50, 26}
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