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Simplifying 4x2 = 8x + 45 Reorder the terms: 4x2 = 45 + 8x Solving 4x2 = 45 + 8x Solving for variable 'x'. Reorder the terms: -45 + -8x + 4x2 = 45 + 8x + -45 + -8x Reorder the terms: -45 + -8x + 4x2 = 45 + -45 + 8x + -8x Combine like terms: 45 + -45 = 0 -45 + -8x + 4x2 = 0 + 8x + -8x -45 + -8x + 4x2 = 8x + -8x Combine like terms: 8x + -8x = 0 -45 + -8x + 4x2 = 0 Factor a trinomial. (-5 + -2x)(9 + -2x) = 0Subproblem 1
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 = -2.5Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 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 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {-2.5, 4.5}
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