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Simplifying 8(-2x + 1) = -15x(x + 1) Reorder the terms: 8(1 + -2x) = -15x(x + 1) (1 * 8 + -2x * 8) = -15x(x + 1) (8 + -16x) = -15x(x + 1) Reorder the terms: 8 + -16x = -15x(1 + x) 8 + -16x = (1 * -15x + x * -15x) 8 + -16x = (-15x + -15x2) Solving 8 + -16x = -15x + -15x2 Solving for variable 'x'. Combine like terms: -16x + 15x = -1x 8 + -1x + 15x2 = -15x + -15x2 + 15x + 15x2 Reorder the terms: 8 + -1x + 15x2 = -15x + 15x + -15x2 + 15x2 Combine like terms: -15x + 15x = 0 8 + -1x + 15x2 = 0 + -15x2 + 15x2 8 + -1x + 15x2 = -15x2 + 15x2 Combine like terms: -15x2 + 15x2 = 0 8 + -1x + 15x2 = 0 Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 0.5333333333 + -0.06666666667x + x2 = 0 Move the constant term to the right: Add '-0.5333333333' to each side of the equation. 0.5333333333 + -0.06666666667x + -0.5333333333 + x2 = 0 + -0.5333333333 Reorder the terms: 0.5333333333 + -0.5333333333 + -0.06666666667x + x2 = 0 + -0.5333333333 Combine like terms: 0.5333333333 + -0.5333333333 = 0.0000000000 0.0000000000 + -0.06666666667x + x2 = 0 + -0.5333333333 -0.06666666667x + x2 = 0 + -0.5333333333 Combine like terms: 0 + -0.5333333333 = -0.5333333333 -0.06666666667x + x2 = -0.5333333333 The x term is -0.06666666667x. Take half its coefficient (-0.03333333334). Square it (0.001111111112) and add it to both sides. Add '0.001111111112' to each side of the equation. -0.06666666667x + 0.001111111112 + x2 = -0.5333333333 + 0.001111111112 Reorder the terms: 0.001111111112 + -0.06666666667x + x2 = -0.5333333333 + 0.001111111112 Combine like terms: -0.5333333333 + 0.001111111112 = -0.532222222188 0.001111111112 + -0.06666666667x + x2 = -0.532222222188 Factor a perfect square on the left side: (x + -0.03333333334)(x + -0.03333333334) = -0.532222222188 Can't calculate square root of the right side. The solution to this equation could not be determined.
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