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Simplifying 4x2 + -15x + 33 = 9x + 6 Reorder the terms: 33 + -15x + 4x2 = 9x + 6 Reorder the terms: 33 + -15x + 4x2 = 6 + 9x Solving 33 + -15x + 4x2 = 6 + 9x Solving for variable 'x'. Reorder the terms: 33 + -6 + -15x + -9x + 4x2 = 6 + 9x + -6 + -9x Combine like terms: 33 + -6 = 27 27 + -15x + -9x + 4x2 = 6 + 9x + -6 + -9x Combine like terms: -15x + -9x = -24x 27 + -24x + 4x2 = 6 + 9x + -6 + -9x Reorder the terms: 27 + -24x + 4x2 = 6 + -6 + 9x + -9x Combine like terms: 6 + -6 = 0 27 + -24x + 4x2 = 0 + 9x + -9x 27 + -24x + 4x2 = 9x + -9x Combine like terms: 9x + -9x = 0 27 + -24x + 4x2 = 0 Factor a trinomial. (3 + -2x)(9 + -2x) = 0Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5Solution
x = {1.5, 4.5}
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