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Simplifying 3x * 3x + -4x = 28 Reorder the terms for easier multiplication: 3 * 3x * x + -4x = 28 Multiply 3 * 3 9x * x + -4x = 28 Multiply x * x 9x2 + -4x = 28 Reorder the terms: -4x + 9x2 = 28 Solving -4x + 9x2 = 28 Solving for variable 'x'. Reorder the terms: -28 + -4x + 9x2 = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + -4x + 9x2 = 0 Factor a trinomial. (-14 + -9x)(2 + -1x) = 0Subproblem 1
Set the factor '(-14 + -9x)' equal to zero and attempt to solve: Simplifying -14 + -9x = 0 Solving -14 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -9x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -9x = 0 + 14 -9x = 0 + 14 Combine like terms: 0 + 14 = 14 -9x = 14 Divide each side by '-9'. x = -1.555555556 Simplifying x = -1.555555556Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 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 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-1.555555556, 2}
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