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Simplifying (5x + -4)(x + -2) = (1 + -5x)(x + 3) Reorder the terms: (-4 + 5x)(x + -2) = (1 + -5x)(x + 3) Reorder the terms: (-4 + 5x)(-2 + x) = (1 + -5x)(x + 3) Multiply (-4 + 5x) * (-2 + x) (-4(-2 + x) + 5x * (-2 + x)) = (1 + -5x)(x + 3) ((-2 * -4 + x * -4) + 5x * (-2 + x)) = (1 + -5x)(x + 3) ((8 + -4x) + 5x * (-2 + x)) = (1 + -5x)(x + 3) (8 + -4x + (-2 * 5x + x * 5x)) = (1 + -5x)(x + 3) (8 + -4x + (-10x + 5x2)) = (1 + -5x)(x + 3) Combine like terms: -4x + -10x = -14x (8 + -14x + 5x2) = (1 + -5x)(x + 3) Reorder the terms: 8 + -14x + 5x2 = (1 + -5x)(3 + x) Multiply (1 + -5x) * (3 + x) 8 + -14x + 5x2 = (1(3 + x) + -5x * (3 + x)) 8 + -14x + 5x2 = ((3 * 1 + x * 1) + -5x * (3 + x)) 8 + -14x + 5x2 = ((3 + 1x) + -5x * (3 + x)) 8 + -14x + 5x2 = (3 + 1x + (3 * -5x + x * -5x)) 8 + -14x + 5x2 = (3 + 1x + (-15x + -5x2)) Combine like terms: 1x + -15x = -14x 8 + -14x + 5x2 = (3 + -14x + -5x2) Add '14x' to each side of the equation. 8 + -14x + 14x + 5x2 = 3 + -14x + 14x + -5x2 Combine like terms: -14x + 14x = 0 8 + 0 + 5x2 = 3 + -14x + 14x + -5x2 8 + 5x2 = 3 + -14x + 14x + -5x2 Combine like terms: -14x + 14x = 0 8 + 5x2 = 3 + 0 + -5x2 8 + 5x2 = 3 + -5x2 Solving 8 + 5x2 = 3 + -5x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x2' to each side of the equation. 8 + 5x2 + 5x2 = 3 + -5x2 + 5x2 Combine like terms: 5x2 + 5x2 = 10x2 8 + 10x2 = 3 + -5x2 + 5x2 Combine like terms: -5x2 + 5x2 = 0 8 + 10x2 = 3 + 0 8 + 10x2 = 3 Add '-8' to each side of the equation. 8 + -8 + 10x2 = 3 + -8 Combine like terms: 8 + -8 = 0 0 + 10x2 = 3 + -8 10x2 = 3 + -8 Combine like terms: 3 + -8 = -5 10x2 = -5 Divide each side by '10'. x2 = -0.5 Simplifying x2 = -0.5 Reorder the terms: 0.5 + x2 = -0.5 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.5 + x2 = 0.0 The solution to this equation could not be determined.
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