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Simplifying (2x + 3)(x + -3) = 4x + 6 Reorder the terms: (3 + 2x)(x + -3) = 4x + 6 Reorder the terms: (3 + 2x)(-3 + x) = 4x + 6 Multiply (3 + 2x) * (-3 + x) (3(-3 + x) + 2x * (-3 + x)) = 4x + 6 ((-3 * 3 + x * 3) + 2x * (-3 + x)) = 4x + 6 ((-9 + 3x) + 2x * (-3 + x)) = 4x + 6 (-9 + 3x + (-3 * 2x + x * 2x)) = 4x + 6 (-9 + 3x + (-6x + 2x2)) = 4x + 6 Combine like terms: 3x + -6x = -3x (-9 + -3x + 2x2) = 4x + 6 Reorder the terms: -9 + -3x + 2x2 = 6 + 4x Solving -9 + -3x + 2x2 = 6 + 4x Solving for variable 'x'. Reorder the terms: -9 + -6 + -3x + -4x + 2x2 = 6 + 4x + -6 + -4x Combine like terms: -9 + -6 = -15 -15 + -3x + -4x + 2x2 = 6 + 4x + -6 + -4x Combine like terms: -3x + -4x = -7x -15 + -7x + 2x2 = 6 + 4x + -6 + -4x Reorder the terms: -15 + -7x + 2x2 = 6 + -6 + 4x + -4x Combine like terms: 6 + -6 = 0 -15 + -7x + 2x2 = 0 + 4x + -4x -15 + -7x + 2x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -15 + -7x + 2x2 = 0 Factor a trinomial. (-3 + -2x)(5 + -1x) = 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 '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-1.5, 5}
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