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Simplifying (3x + 2)(x + -3) = 4 Reorder the terms: (2 + 3x)(x + -3) = 4 Reorder the terms: (2 + 3x)(-3 + x) = 4 Multiply (2 + 3x) * (-3 + x) (2(-3 + x) + 3x * (-3 + x)) = 4 ((-3 * 2 + x * 2) + 3x * (-3 + x)) = 4 ((-6 + 2x) + 3x * (-3 + x)) = 4 (-6 + 2x + (-3 * 3x + x * 3x)) = 4 (-6 + 2x + (-9x + 3x2)) = 4 Combine like terms: 2x + -9x = -7x (-6 + -7x + 3x2) = 4 Solving -6 + -7x + 3x2 = 4 Solving for variable 'x'. Reorder the terms: -6 + -4 + -7x + 3x2 = 4 + -4 Combine like terms: -6 + -4 = -10 -10 + -7x + 3x2 = 4 + -4 Combine like terms: 4 + -4 = 0 -10 + -7x + 3x2 = 0 Factor a trinomial. (-1 + -1x)(10 + -3x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
Set the factor '(10 + -3x)' equal to zero and attempt to solve: Simplifying 10 + -3x = 0 Solving 10 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -3x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -3x = 0 + -10 -3x = 0 + -10 Combine like terms: 0 + -10 = -10 -3x = -10 Divide each side by '-3'. x = 3.333333333 Simplifying x = 3.333333333Solution
x = {-1, 3.333333333}
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