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Simplifying -10x2 + 2300x + -96250 = 0 Reorder the terms: -96250 + 2300x + -10x2 = 0 Solving -96250 + 2300x + -10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '10'. 10(-9625 + 230x + -1x2) = 0 Factor a trinomial. 10((-175 + x)(55 + -1x)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-175 + x)' equal to zero and attempt to solve: Simplifying -175 + x = 0 Solving -175 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '175' to each side of the equation. -175 + 175 + x = 0 + 175 Combine like terms: -175 + 175 = 0 0 + x = 0 + 175 x = 0 + 175 Combine like terms: 0 + 175 = 175 x = 175 Simplifying x = 175Subproblem 2
Set the factor '(55 + -1x)' equal to zero and attempt to solve: Simplifying 55 + -1x = 0 Solving 55 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -1x = 0 + -55 Combine like terms: 55 + -55 = 0 0 + -1x = 0 + -55 -1x = 0 + -55 Combine like terms: 0 + -55 = -55 -1x = -55 Divide each side by '-1'. x = 55 Simplifying x = 55Solution
x = {175, 55}
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