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Simplifying 5x + 1 = 4x2 + -5 Reorder the terms: 1 + 5x = 4x2 + -5 Reorder the terms: 1 + 5x = -5 + 4x2 Solving 1 + 5x = -5 + 4x2 Solving for variable 'x'. Reorder the terms: 1 + 5 + 5x + -4x2 = -5 + 4x2 + 5 + -4x2 Combine like terms: 1 + 5 = 6 6 + 5x + -4x2 = -5 + 4x2 + 5 + -4x2 Reorder the terms: 6 + 5x + -4x2 = -5 + 5 + 4x2 + -4x2 Combine like terms: -5 + 5 = 0 6 + 5x + -4x2 = 0 + 4x2 + -4x2 6 + 5x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 6 + 5x + -4x2 = 0 Factor a trinomial. (2 + -1x)(3 + 4x) = 0Subproblem 1
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 = 2Subproblem 2
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 = -0.75Solution
x = {2, -0.75}
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