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Simplifying (4x + 3)(x + -2) = 28x + 21 Reorder the terms: (3 + 4x)(x + -2) = 28x + 21 Reorder the terms: (3 + 4x)(-2 + x) = 28x + 21 Multiply (3 + 4x) * (-2 + x) (3(-2 + x) + 4x * (-2 + x)) = 28x + 21 ((-2 * 3 + x * 3) + 4x * (-2 + x)) = 28x + 21 ((-6 + 3x) + 4x * (-2 + x)) = 28x + 21 (-6 + 3x + (-2 * 4x + x * 4x)) = 28x + 21 (-6 + 3x + (-8x + 4x2)) = 28x + 21 Combine like terms: 3x + -8x = -5x (-6 + -5x + 4x2) = 28x + 21 Reorder the terms: -6 + -5x + 4x2 = 21 + 28x Solving -6 + -5x + 4x2 = 21 + 28x Solving for variable 'x'. Reorder the terms: -6 + -21 + -5x + -28x + 4x2 = 21 + 28x + -21 + -28x Combine like terms: -6 + -21 = -27 -27 + -5x + -28x + 4x2 = 21 + 28x + -21 + -28x Combine like terms: -5x + -28x = -33x -27 + -33x + 4x2 = 21 + 28x + -21 + -28x Reorder the terms: -27 + -33x + 4x2 = 21 + -21 + 28x + -28x Combine like terms: 21 + -21 = 0 -27 + -33x + 4x2 = 0 + 28x + -28x -27 + -33x + 4x2 = 28x + -28x Combine like terms: 28x + -28x = 0 -27 + -33x + 4x2 = 0 Factor a trinomial. (-3 + -4x)(9 + -1x) = 0Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 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 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 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 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {-0.75, 9}
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