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Simplifying (10 + 6x2 + -4x) + (7x2 + -4x + 5) = 0 Reorder the terms: (10 + -4x + 6x2) + (7x2 + -4x + 5) = 0 Remove parenthesis around (10 + -4x + 6x2) 10 + -4x + 6x2 + (7x2 + -4x + 5) = 0 Reorder the terms: 10 + -4x + 6x2 + (5 + -4x + 7x2) = 0 Remove parenthesis around (5 + -4x + 7x2) 10 + -4x + 6x2 + 5 + -4x + 7x2 = 0 Reorder the terms: 10 + 5 + -4x + -4x + 6x2 + 7x2 = 0 Combine like terms: 10 + 5 = 15 15 + -4x + -4x + 6x2 + 7x2 = 0 Combine like terms: -4x + -4x = -8x 15 + -8x + 6x2 + 7x2 = 0 Combine like terms: 6x2 + 7x2 = 13x2 15 + -8x + 13x2 = 0 Solving 15 + -8x + 13x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 13 the coefficient of the squared term: Divide each side by '13'. 1.153846154 + -0.6153846154x + x2 = 0 Move the constant term to the right: Add '-1.153846154' to each side of the equation. 1.153846154 + -0.6153846154x + -1.153846154 + x2 = 0 + -1.153846154 Reorder the terms: 1.153846154 + -1.153846154 + -0.6153846154x + x2 = 0 + -1.153846154 Combine like terms: 1.153846154 + -1.153846154 = 0.000000000 0.000000000 + -0.6153846154x + x2 = 0 + -1.153846154 -0.6153846154x + x2 = 0 + -1.153846154 Combine like terms: 0 + -1.153846154 = -1.153846154 -0.6153846154x + x2 = -1.153846154 The x term is -0.6153846154x. Take half its coefficient (-0.3076923077). Square it (0.09467455622) and add it to both sides. Add '0.09467455622' to each side of the equation. -0.6153846154x + 0.09467455622 + x2 = -1.153846154 + 0.09467455622 Reorder the terms: 0.09467455622 + -0.6153846154x + x2 = -1.153846154 + 0.09467455622 Combine like terms: -1.153846154 + 0.09467455622 = -1.05917159778 0.09467455622 + -0.6153846154x + x2 = -1.05917159778 Factor a perfect square on the left side: (x + -0.3076923077)(x + -0.3076923077) = -1.05917159778 Can't calculate square root of the right side. The solution to this equation could not be determined.
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