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Simplifying 3x2 = 7x + -4 Reorder the terms: 3x2 = -4 + 7x Solving 3x2 = -4 + 7x Solving for variable 'x'. Reorder the terms: 4 + -7x + 3x2 = -4 + 7x + 4 + -7x Reorder the terms: 4 + -7x + 3x2 = -4 + 4 + 7x + -7x Combine like terms: -4 + 4 = 0 4 + -7x + 3x2 = 0 + 7x + -7x 4 + -7x + 3x2 = 7x + -7x Combine like terms: 7x + -7x = 0 4 + -7x + 3x2 = 0 Factor a trinomial. (1 + -1x)(4 + -3x) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {1, 1.333333333}
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