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Simplifying 2(x + -1) * 7x = 18 + -5(x + 4) Reorder the terms: 2(-1 + x) * 7x = 18 + -5(x + 4) Reorder the terms for easier multiplication: 2 * 7x(-1 + x) = 18 + -5(x + 4) Multiply 2 * 7 14x(-1 + x) = 18 + -5(x + 4) (-1 * 14x + x * 14x) = 18 + -5(x + 4) (-14x + 14x2) = 18 + -5(x + 4) Reorder the terms: -14x + 14x2 = 18 + -5(4 + x) -14x + 14x2 = 18 + (4 * -5 + x * -5) -14x + 14x2 = 18 + (-20 + -5x) Combine like terms: 18 + -20 = -2 -14x + 14x2 = -2 + -5x Solving -14x + 14x2 = -2 + -5x Solving for variable 'x'. Reorder the terms: 2 + -14x + 5x + 14x2 = -2 + -5x + 2 + 5x Combine like terms: -14x + 5x = -9x 2 + -9x + 14x2 = -2 + -5x + 2 + 5x Reorder the terms: 2 + -9x + 14x2 = -2 + 2 + -5x + 5x Combine like terms: -2 + 2 = 0 2 + -9x + 14x2 = 0 + -5x + 5x 2 + -9x + 14x2 = -5x + 5x Combine like terms: -5x + 5x = 0 2 + -9x + 14x2 = 0 Begin completing the square. Divide all terms by 14 the coefficient of the squared term: Divide each side by '14'. 0.1428571429 + -0.6428571429x + x2 = 0 Move the constant term to the right: Add '-0.1428571429' to each side of the equation. 0.1428571429 + -0.6428571429x + -0.1428571429 + x2 = 0 + -0.1428571429 Reorder the terms: 0.1428571429 + -0.1428571429 + -0.6428571429x + x2 = 0 + -0.1428571429 Combine like terms: 0.1428571429 + -0.1428571429 = 0.0000000000 0.0000000000 + -0.6428571429x + x2 = 0 + -0.1428571429 -0.6428571429x + x2 = 0 + -0.1428571429 Combine like terms: 0 + -0.1428571429 = -0.1428571429 -0.6428571429x + x2 = -0.1428571429 The x term is -0.6428571429x. Take half its coefficient (-0.3214285715). Square it (0.1033163266) and add it to both sides. Add '0.1033163266' to each side of the equation. -0.6428571429x + 0.1033163266 + x2 = -0.1428571429 + 0.1033163266 Reorder the terms: 0.1033163266 + -0.6428571429x + x2 = -0.1428571429 + 0.1033163266 Combine like terms: -0.1428571429 + 0.1033163266 = -0.0395408163 0.1033163266 + -0.6428571429x + x2 = -0.0395408163 Factor a perfect square on the left side: (x + -0.3214285715)(x + -0.3214285715) = -0.0395408163 Can't calculate square root of the right side. The solution to this equation could not be determined.
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