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Simplifying 3x2 + 4 = 2x + 5 Reorder the terms: 4 + 3x2 = 2x + 5 Reorder the terms: 4 + 3x2 = 5 + 2x Solving 4 + 3x2 = 5 + 2x Solving for variable 'x'. Reorder the terms: 4 + -5 + -2x + 3x2 = 5 + 2x + -5 + -2x Combine like terms: 4 + -5 = -1 -1 + -2x + 3x2 = 5 + 2x + -5 + -2x Reorder the terms: -1 + -2x + 3x2 = 5 + -5 + 2x + -2x Combine like terms: 5 + -5 = 0 -1 + -2x + 3x2 = 0 + 2x + -2x -1 + -2x + 3x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -1 + -2x + 3x2 = 0 Factor a trinomial. (-1 + -3x)(1 + -1x) = 0Subproblem 1
Set the factor '(-1 + -3x)' equal to zero and attempt to solve: Simplifying -1 + -3x = 0 Solving -1 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3x = 0 + 1 -3x = 0 + 1 Combine like terms: 0 + 1 = 1 -3x = 1 Divide each side by '-3'. x = -0.3333333333 Simplifying x = -0.3333333333Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {-0.3333333333, 1}
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