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Simplifying 20x2 + -30x = 2x + 45 Reorder the terms: -30x + 20x2 = 2x + 45 Reorder the terms: -30x + 20x2 = 45 + 2x Solving -30x + 20x2 = 45 + 2x Solving for variable 'x'. Reorder the terms: -45 + -30x + -2x + 20x2 = 45 + 2x + -45 + -2x Combine like terms: -30x + -2x = -32x -45 + -32x + 20x2 = 45 + 2x + -45 + -2x Reorder the terms: -45 + -32x + 20x2 = 45 + -45 + 2x + -2x Combine like terms: 45 + -45 = 0 -45 + -32x + 20x2 = 0 + 2x + -2x -45 + -32x + 20x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -45 + -32x + 20x2 = 0 Factor a trinomial. (-9 + -10x)(5 + -2x) = 0Subproblem 1
Set the factor '(-9 + -10x)' equal to zero and attempt to solve: Simplifying -9 + -10x = 0 Solving -9 + -10x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -10x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -10x = 0 + 9 -10x = 0 + 9 Combine like terms: 0 + 9 = 9 -10x = 9 Divide each side by '-10'. x = -0.9 Simplifying x = -0.9Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {-0.9, 2.5}
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