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Simplifying -2(5x + -3) * 15x = -8x + 18x + 51 Reorder the terms: -2(-3 + 5x) * 15x = -8x + 18x + 51 Reorder the terms for easier multiplication: -2 * 15x(-3 + 5x) = -8x + 18x + 51 Multiply -2 * 15 -30x(-3 + 5x) = -8x + 18x + 51 (-3 * -30x + 5x * -30x) = -8x + 18x + 51 (90x + -150x2) = -8x + 18x + 51 Reorder the terms: 90x + -150x2 = 51 + -8x + 18x Combine like terms: -8x + 18x = 10x 90x + -150x2 = 51 + 10x Solving 90x + -150x2 = 51 + 10x Solving for variable 'x'. Reorder the terms: -51 + 90x + -10x + -150x2 = 51 + 10x + -51 + -10x Combine like terms: 90x + -10x = 80x -51 + 80x + -150x2 = 51 + 10x + -51 + -10x Reorder the terms: -51 + 80x + -150x2 = 51 + -51 + 10x + -10x Combine like terms: 51 + -51 = 0 -51 + 80x + -150x2 = 0 + 10x + -10x -51 + 80x + -150x2 = 10x + -10x Combine like terms: 10x + -10x = 0 -51 + 80x + -150x2 = 0 Begin completing the square. Divide all terms by -150 the coefficient of the squared term: Divide each side by '-150'. 0.34 + -0.5333333333x + x2 = 0 Move the constant term to the right: Add '-0.34' to each side of the equation. 0.34 + -0.5333333333x + -0.34 + x2 = 0 + -0.34 Reorder the terms: 0.34 + -0.34 + -0.5333333333x + x2 = 0 + -0.34 Combine like terms: 0.34 + -0.34 = 0.00 0.00 + -0.5333333333x + x2 = 0 + -0.34 -0.5333333333x + x2 = 0 + -0.34 Combine like terms: 0 + -0.34 = -0.34 -0.5333333333x + x2 = -0.34 The x term is -0.5333333333x. Take half its coefficient (-0.2666666667). Square it (0.07111111113) and add it to both sides. Add '0.07111111113' to each side of the equation. -0.5333333333x + 0.07111111113 + x2 = -0.34 + 0.07111111113 Reorder the terms: 0.07111111113 + -0.5333333333x + x2 = -0.34 + 0.07111111113 Combine like terms: -0.34 + 0.07111111113 = -0.26888888887 0.07111111113 + -0.5333333333x + x2 = -0.26888888887 Factor a perfect square on the left side: (x + -0.2666666667)(x + -0.2666666667) = -0.26888888887 Can't calculate square root of the right side. The solution to this equation could not be determined.
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