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Simplifying 435 = 2x2 + -5x + 3 Reorder the terms: 435 = 3 + -5x + 2x2 Solving 435 = 3 + -5x + 2x2 Solving for variable 'x'. Combine like terms: 435 + -3 = 432 432 + 5x + -2x2 = 3 + -5x + 2x2 + -3 + 5x + -2x2 Reorder the terms: 432 + 5x + -2x2 = 3 + -3 + -5x + 5x + 2x2 + -2x2 Combine like terms: 3 + -3 = 0 432 + 5x + -2x2 = 0 + -5x + 5x + 2x2 + -2x2 432 + 5x + -2x2 = -5x + 5x + 2x2 + -2x2 Combine like terms: -5x + 5x = 0 432 + 5x + -2x2 = 0 + 2x2 + -2x2 432 + 5x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 432 + 5x + -2x2 = 0 Factor a trinomial. (16 + -1x)(27 + 2x) = 0Subproblem 1
Set the factor '(16 + -1x)' equal to zero and attempt to solve: Simplifying 16 + -1x = 0 Solving 16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1x = 0 + -16 -1x = 0 + -16 Combine like terms: 0 + -16 = -16 -1x = -16 Divide each side by '-1'. x = 16 Simplifying x = 16Subproblem 2
Set the factor '(27 + 2x)' equal to zero and attempt to solve: Simplifying 27 + 2x = 0 Solving 27 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 2x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 2x = 0 + -27 2x = 0 + -27 Combine like terms: 0 + -27 = -27 2x = -27 Divide each side by '2'. x = -13.5 Simplifying x = -13.5Solution
x = {16, -13.5}
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