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Simplifying 0 = 3x2 + -7x + 4 Reorder the terms: 0 = 4 + -7x + 3x2 Solving 0 = 4 + -7x + 3x2 Solving for variable 'x'. Combine like terms: 0 + -4 = -4 -4 + 7x + -3x2 = 4 + -7x + 3x2 + -4 + 7x + -3x2 Reorder the terms: -4 + 7x + -3x2 = 4 + -4 + -7x + 7x + 3x2 + -3x2 Combine like terms: 4 + -4 = 0 -4 + 7x + -3x2 = 0 + -7x + 7x + 3x2 + -3x2 -4 + 7x + -3x2 = -7x + 7x + 3x2 + -3x2 Combine like terms: -7x + 7x = 0 -4 + 7x + -3x2 = 0 + 3x2 + -3x2 -4 + 7x + -3x2 = 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -4 + 7x + -3x2 = 0 Factor a trinomial. (-4 + 3x)(1 + -1x) = 0Subproblem 1
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 = 1.333333333Subproblem 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 = {1.333333333, 1}
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