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Simplifying 3x2 + -300x + 5625 = 0 Reorder the terms: 5625 + -300x + 3x2 = 0 Solving 5625 + -300x + 3x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(1875 + -100x + x2) = 0 Factor a trinomial. 3((25 + -1x)(75 + -1x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 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 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Subproblem 2
Set the factor '(75 + -1x)' equal to zero and attempt to solve: Simplifying 75 + -1x = 0 Solving 75 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-75' to each side of the equation. 75 + -75 + -1x = 0 + -75 Combine like terms: 75 + -75 = 0 0 + -1x = 0 + -75 -1x = 0 + -75 Combine like terms: 0 + -75 = -75 -1x = -75 Divide each side by '-1'. x = 75 Simplifying x = 75Solution
x = {25, 75}
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