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Simplifying 4 = 3x(-3x + 4) Reorder the terms: 4 = 3x(4 + -3x) 4 = (4 * 3x + -3x * 3x) 4 = (12x + -9x2) Solving 4 = 12x + -9x2 Solving for variable 'x'. Reorder the terms: 4 + -12x + 9x2 = 12x + -12x + -9x2 + 9x2 Combine like terms: 12x + -12x = 0 4 + -12x + 9x2 = 0 + -9x2 + 9x2 4 + -12x + 9x2 = -9x2 + 9x2 Combine like terms: -9x2 + 9x2 = 0 4 + -12x + 9x2 = 0 Factor a trinomial. (2 + -3x)(2 + -3x) = 0Subproblem 1
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Subproblem 2
Set the factor '(2 + -3x)' equal to zero and attempt to solve: Simplifying 2 + -3x = 0 Solving 2 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x = 0 + -2 -3x = 0 + -2 Combine like terms: 0 + -2 = -2 -3x = -2 Divide each side by '-3'. x = 0.6666666667 Simplifying x = 0.6666666667Solution
x = {0.6666666667, 0.6666666667}
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