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Simplifying 6x2 + 7x + -5(2x + -1) = 0 Reorder the terms: 6x2 + 7x + -5(-1 + 2x) = 0 6x2 + 7x + (-1 * -5 + 2x * -5) = 0 6x2 + 7x + (5 + -10x) = 0 Reorder the terms: 5 + 7x + -10x + 6x2 = 0 Combine like terms: 7x + -10x = -3x 5 + -3x + 6x2 = 0 Solving 5 + -3x + 6x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. 0.8333333333 + -0.5x + x2 = 0 Move the constant term to the right: Add '-0.8333333333' to each side of the equation. 0.8333333333 + -0.5x + -0.8333333333 + x2 = 0 + -0.8333333333 Reorder the terms: 0.8333333333 + -0.8333333333 + -0.5x + x2 = 0 + -0.8333333333 Combine like terms: 0.8333333333 + -0.8333333333 = 0.0000000000 0.0000000000 + -0.5x + x2 = 0 + -0.8333333333 -0.5x + x2 = 0 + -0.8333333333 Combine like terms: 0 + -0.8333333333 = -0.8333333333 -0.5x + x2 = -0.8333333333 The x term is -0.5x. Take half its coefficient (-0.25). Square it (0.0625) and add it to both sides. Add '0.0625' to each side of the equation. -0.5x + 0.0625 + x2 = -0.8333333333 + 0.0625 Reorder the terms: 0.0625 + -0.5x + x2 = -0.8333333333 + 0.0625 Combine like terms: -0.8333333333 + 0.0625 = -0.7708333333 0.0625 + -0.5x + x2 = -0.7708333333 Factor a perfect square on the left side: (x + -0.25)(x + -0.25) = -0.7708333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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