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Simplifying (-3x + 1)(x + -4) = 2x(x + -4) Reorder the terms: (1 + -3x)(x + -4) = 2x(x + -4) Reorder the terms: (1 + -3x)(-4 + x) = 2x(x + -4) Multiply (1 + -3x) * (-4 + x) (1(-4 + x) + -3x * (-4 + x)) = 2x(x + -4) ((-4 * 1 + x * 1) + -3x * (-4 + x)) = 2x(x + -4) ((-4 + 1x) + -3x * (-4 + x)) = 2x(x + -4) (-4 + 1x + (-4 * -3x + x * -3x)) = 2x(x + -4) (-4 + 1x + (12x + -3x2)) = 2x(x + -4) Combine like terms: 1x + 12x = 13x (-4 + 13x + -3x2) = 2x(x + -4) Reorder the terms: -4 + 13x + -3x2 = 2x(-4 + x) -4 + 13x + -3x2 = (-4 * 2x + x * 2x) -4 + 13x + -3x2 = (-8x + 2x2) Solving -4 + 13x + -3x2 = -8x + 2x2 Solving for variable 'x'. Reorder the terms: -4 + 13x + 8x + -3x2 + -2x2 = -8x + 2x2 + 8x + -2x2 Combine like terms: 13x + 8x = 21x -4 + 21x + -3x2 + -2x2 = -8x + 2x2 + 8x + -2x2 Combine like terms: -3x2 + -2x2 = -5x2 -4 + 21x + -5x2 = -8x + 2x2 + 8x + -2x2 Reorder the terms: -4 + 21x + -5x2 = -8x + 8x + 2x2 + -2x2 Combine like terms: -8x + 8x = 0 -4 + 21x + -5x2 = 0 + 2x2 + -2x2 -4 + 21x + -5x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -4 + 21x + -5x2 = 0 Factor a trinomial. (-4 + x)(1 + -5x) = 0Subproblem 1
Set the factor '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Simplifying x = 4Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {4, 0.2}
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