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Simplifying [2x + -9][x + 3] = 0 Reorder the terms: [-9 + 2x][x + 3] = 0 Reorder the terms: [-9 + 2x][3 + x] = 0 Multiply [-9 + 2x] * [3 + x] [-9[3 + x] + 2x * [3 + x]] = 0 [[3 * -9 + x * -9] + 2x * [3 + x]] = 0 [[-27 + -9x] + 2x * [3 + x]] = 0 [-27 + -9x + [3 * 2x + x * 2x]] = 0 [-27 + -9x + [6x + 2x2]] = 0 Combine like terms: -9x + 6x = -3x [-27 + -3x + 2x2] = 0 Solving -27 + -3x + 2x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -1x)(9 + -2x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 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 = {-3, 4.5}
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