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Simplifying 9x2 + -20x = -16 + 4x Reorder the terms: -20x + 9x2 = -16 + 4x Solving -20x + 9x2 = -16 + 4x Solving for variable 'x'. Reorder the terms: 16 + -20x + -4x + 9x2 = -16 + 4x + 16 + -4x Combine like terms: -20x + -4x = -24x 16 + -24x + 9x2 = -16 + 4x + 16 + -4x Reorder the terms: 16 + -24x + 9x2 = -16 + 16 + 4x + -4x Combine like terms: -16 + 16 = 0 16 + -24x + 9x2 = 0 + 4x + -4x 16 + -24x + 9x2 = 4x + -4x Combine like terms: 4x + -4x = 0 16 + -24x + 9x2 = 0 Factor a trinomial. (4 + -3x)(4 + -3x) = 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 '(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 = {1.333333333, 1.333333333}
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