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Simplifying (3x2) = -4x + 7 Reorder the terms: (3x2) = 7 + -4x Solving (3x2) = 7 + -4x Solving for variable 'x'. Reorder the terms: -7 + 4x + (3x2) = 7 + -4x + -7 + 4x Reorder the terms: -7 + 4x + (3x2) = 7 + -7 + -4x + 4x Combine like terms: 7 + -7 = 0 -7 + 4x + (3x2) = 0 + -4x + 4x -7 + 4x + (3x2) = -4x + 4x Combine like terms: -4x + 4x = 0 -7 + 4x + (3x2) = 0 Factor a trinomial. (-7 + -3x)(1 + -1x) = 0Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333Subproblem 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 = {-2.333333333, 1}
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