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Simplifying -8(x + -6) + 3(5x + -2)(5x + -7) = 0 Reorder the terms: -8(-6 + x) + 3(5x + -2)(5x + -7) = 0 (-6 * -8 + x * -8) + 3(5x + -2)(5x + -7) = 0 (48 + -8x) + 3(5x + -2)(5x + -7) = 0 Reorder the terms: 48 + -8x + 3(-2 + 5x)(5x + -7) = 0 Reorder the terms: 48 + -8x + 3(-2 + 5x)(-7 + 5x) = 0 Multiply (-2 + 5x) * (-7 + 5x) 48 + -8x + 3(-2(-7 + 5x) + 5x * (-7 + 5x)) = 0 48 + -8x + 3((-7 * -2 + 5x * -2) + 5x * (-7 + 5x)) = 0 48 + -8x + 3((14 + -10x) + 5x * (-7 + 5x)) = 0 48 + -8x + 3(14 + -10x + (-7 * 5x + 5x * 5x)) = 0 48 + -8x + 3(14 + -10x + (-35x + 25x2)) = 0 Combine like terms: -10x + -35x = -45x 48 + -8x + 3(14 + -45x + 25x2) = 0 48 + -8x + (14 * 3 + -45x * 3 + 25x2 * 3) = 0 48 + -8x + (42 + -135x + 75x2) = 0 Reorder the terms: 48 + 42 + -8x + -135x + 75x2 = 0 Combine like terms: 48 + 42 = 90 90 + -8x + -135x + 75x2 = 0 Combine like terms: -8x + -135x = -143x 90 + -143x + 75x2 = 0 Solving 90 + -143x + 75x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 75 the coefficient of the squared term: Divide each side by '75'. 1.2 + -1.906666667x + x2 = 0 Move the constant term to the right: Add '-1.2' to each side of the equation. 1.2 + -1.906666667x + -1.2 + x2 = 0 + -1.2 Reorder the terms: 1.2 + -1.2 + -1.906666667x + x2 = 0 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + -1.906666667x + x2 = 0 + -1.2 -1.906666667x + x2 = 0 + -1.2 Combine like terms: 0 + -1.2 = -1.2 -1.906666667x + x2 = -1.2 The x term is -1.906666667x. Take half its coefficient (-0.9533333335). Square it (0.9088444448) and add it to both sides. Add '0.9088444448' to each side of the equation. -1.906666667x + 0.9088444448 + x2 = -1.2 + 0.9088444448 Reorder the terms: 0.9088444448 + -1.906666667x + x2 = -1.2 + 0.9088444448 Combine like terms: -1.2 + 0.9088444448 = -0.2911555552 0.9088444448 + -1.906666667x + x2 = -0.2911555552 Factor a perfect square on the left side: (x + -0.9533333335)(x + -0.9533333335) = -0.2911555552 Can't calculate square root of the right side. The solution to this equation could not be determined.
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