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Simplifying 4x2 + -637x + 1875 = 0 Reorder the terms: 1875 + -637x + 4x2 = 0 Solving 1875 + -637x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -1x)(625 + -4x) = 0Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(625 + -4x)' equal to zero and attempt to solve: Simplifying 625 + -4x = 0 Solving 625 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-625' to each side of the equation. 625 + -625 + -4x = 0 + -625 Combine like terms: 625 + -625 = 0 0 + -4x = 0 + -625 -4x = 0 + -625 Combine like terms: 0 + -625 = -625 -4x = -625 Divide each side by '-4'. x = 156.25 Simplifying x = 156.25Solution
x = {3, 156.25}
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