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Simplifying 4x2 = 5x + 6 Reorder the terms: 4x2 = 6 + 5x Solving 4x2 = 6 + 5x Solving for variable 'x'. Reorder the terms: -6 + -5x + 4x2 = 6 + 5x + -6 + -5x Reorder the terms: -6 + -5x + 4x2 = 6 + -6 + 5x + -5x Combine like terms: 6 + -6 = 0 -6 + -5x + 4x2 = 0 + 5x + -5x -6 + -5x + 4x2 = 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -5x + 4x2 = 0 Factor a trinomial. (-3 + -4x)(2 + -1x) = 0Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 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 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-0.75, 2}
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