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Simplifying x(6x + -2) + 7(x + 9) = 0 Reorder the terms: x(-2 + 6x) + 7(x + 9) = 0 (-2 * x + 6x * x) + 7(x + 9) = 0 (-2x + 6x2) + 7(x + 9) = 0 Reorder the terms: -2x + 6x2 + 7(9 + x) = 0 -2x + 6x2 + (9 * 7 + x * 7) = 0 -2x + 6x2 + (63 + 7x) = 0 Reorder the terms: 63 + -2x + 7x + 6x2 = 0 Combine like terms: -2x + 7x = 5x 63 + 5x + 6x2 = 0 Solving 63 + 5x + 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'. 10.5 + 0.8333333333x + x2 = 0 Move the constant term to the right: Add '-10.5' to each side of the equation. 10.5 + 0.8333333333x + -10.5 + x2 = 0 + -10.5 Reorder the terms: 10.5 + -10.5 + 0.8333333333x + x2 = 0 + -10.5 Combine like terms: 10.5 + -10.5 = 0.0 0.0 + 0.8333333333x + x2 = 0 + -10.5 0.8333333333x + x2 = 0 + -10.5 Combine like terms: 0 + -10.5 = -10.5 0.8333333333x + x2 = -10.5 The x term is 0.8333333333x. Take half its coefficient (0.4166666667). Square it (0.1736111111) and add it to both sides. Add '0.1736111111' to each side of the equation. 0.8333333333x + 0.1736111111 + x2 = -10.5 + 0.1736111111 Reorder the terms: 0.1736111111 + 0.8333333333x + x2 = -10.5 + 0.1736111111 Combine like terms: -10.5 + 0.1736111111 = -10.3263888889 0.1736111111 + 0.8333333333x + x2 = -10.3263888889 Factor a perfect square on the left side: (x + 0.4166666667)(x + 0.4166666667) = -10.3263888889 Can't calculate square root of the right side. The solution to this equation could not be determined.
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