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Simplifying 4x2 + 135x + -2025 = 0 Reorder the terms: -2025 + 135x + 4x2 = 0 Solving -2025 + 135x + 4x2 = 0 Solving for variable 'x'. Factor a trinomial. (-45 + -1x)(45 + -4x) = 0Subproblem 1
Set the factor '(-45 + -1x)' equal to zero and attempt to solve: Simplifying -45 + -1x = 0 Solving -45 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -1x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + -1x = 0 + 45 -1x = 0 + 45 Combine like terms: 0 + 45 = 45 -1x = 45 Divide each side by '-1'. x = -45 Simplifying x = -45Subproblem 2
Set the factor '(45 + -4x)' equal to zero and attempt to solve: Simplifying 45 + -4x = 0 Solving 45 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -4x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -4x = 0 + -45 -4x = 0 + -45 Combine like terms: 0 + -45 = -45 -4x = -45 Divide each side by '-4'. x = 11.25 Simplifying x = 11.25Solution
x = {-45, 11.25}
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