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Simplifying -340 = (2x + 3)(x + -10) Reorder the terms: -340 = (3 + 2x)(x + -10) Reorder the terms: -340 = (3 + 2x)(-10 + x) Multiply (3 + 2x) * (-10 + x) -340 = (3(-10 + x) + 2x * (-10 + x)) -340 = ((-10 * 3 + x * 3) + 2x * (-10 + x)) -340 = ((-30 + 3x) + 2x * (-10 + x)) -340 = (-30 + 3x + (-10 * 2x + x * 2x)) -340 = (-30 + 3x + (-20x + 2x2)) Combine like terms: 3x + -20x = -17x -340 = (-30 + -17x + 2x2) Solving -340 = -30 + -17x + 2x2 Solving for variable 'x'. Combine like terms: -340 + 30 = -310 -310 + 17x + -2x2 = -30 + -17x + 2x2 + 30 + 17x + -2x2 Reorder the terms: -310 + 17x + -2x2 = -30 + 30 + -17x + 17x + 2x2 + -2x2 Combine like terms: -30 + 30 = 0 -310 + 17x + -2x2 = 0 + -17x + 17x + 2x2 + -2x2 -310 + 17x + -2x2 = -17x + 17x + 2x2 + -2x2 Combine like terms: -17x + 17x = 0 -310 + 17x + -2x2 = 0 + 2x2 + -2x2 -310 + 17x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -310 + 17x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 155 + -8.5x + x2 = 0 Move the constant term to the right: Add '-155' to each side of the equation. 155 + -8.5x + -155 + x2 = 0 + -155 Reorder the terms: 155 + -155 + -8.5x + x2 = 0 + -155 Combine like terms: 155 + -155 = 0 0 + -8.5x + x2 = 0 + -155 -8.5x + x2 = 0 + -155 Combine like terms: 0 + -155 = -155 -8.5x + x2 = -155 The x term is -8.5x. Take half its coefficient (-4.25). Square it (18.0625) and add it to both sides. Add '18.0625' to each side of the equation. -8.5x + 18.0625 + x2 = -155 + 18.0625 Reorder the terms: 18.0625 + -8.5x + x2 = -155 + 18.0625 Combine like terms: -155 + 18.0625 = -136.9375 18.0625 + -8.5x + x2 = -136.9375 Factor a perfect square on the left side: (x + -4.25)(x + -4.25) = -136.9375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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