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Simplifying (3x + 1)(3x + -5) = -10 Reorder the terms: (1 + 3x)(3x + -5) = -10 Reorder the terms: (1 + 3x)(-5 + 3x) = -10 Multiply (1 + 3x) * (-5 + 3x) (1(-5 + 3x) + 3x * (-5 + 3x)) = -10 ((-5 * 1 + 3x * 1) + 3x * (-5 + 3x)) = -10 ((-5 + 3x) + 3x * (-5 + 3x)) = -10 (-5 + 3x + (-5 * 3x + 3x * 3x)) = -10 (-5 + 3x + (-15x + 9x2)) = -10 Combine like terms: 3x + -15x = -12x (-5 + -12x + 9x2) = -10 Solving -5 + -12x + 9x2 = -10 Solving for variable 'x'. Reorder the terms: -5 + 10 + -12x + 9x2 = -10 + 10 Combine like terms: -5 + 10 = 5 5 + -12x + 9x2 = -10 + 10 Combine like terms: -10 + 10 = 0 5 + -12x + 9x2 = 0 Begin completing the square. Divide all terms by 9 the coefficient of the squared term: Divide each side by '9'. 0.5555555556 + -1.333333333x + x2 = 0 Move the constant term to the right: Add '-0.5555555556' to each side of the equation. 0.5555555556 + -1.333333333x + -0.5555555556 + x2 = 0 + -0.5555555556 Reorder the terms: 0.5555555556 + -0.5555555556 + -1.333333333x + x2 = 0 + -0.5555555556 Combine like terms: 0.5555555556 + -0.5555555556 = 0.0000000000 0.0000000000 + -1.333333333x + x2 = 0 + -0.5555555556 -1.333333333x + x2 = 0 + -0.5555555556 Combine like terms: 0 + -0.5555555556 = -0.5555555556 -1.333333333x + x2 = -0.5555555556 The x term is -1.333333333x. Take half its coefficient (-0.6666666665). Square it (0.4444444442) and add it to both sides. Add '0.4444444442' to each side of the equation. -1.333333333x + 0.4444444442 + x2 = -0.5555555556 + 0.4444444442 Reorder the terms: 0.4444444442 + -1.333333333x + x2 = -0.5555555556 + 0.4444444442 Combine like terms: -0.5555555556 + 0.4444444442 = -0.1111111114 0.4444444442 + -1.333333333x + x2 = -0.1111111114 Factor a perfect square on the left side: (x + -0.6666666665)(x + -0.6666666665) = -0.1111111114 Can't calculate square root of the right side. The solution to this equation could not be determined.
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