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Simplifying (7x2 + -6x + 4) + (-2x2 + 5x + 1) = 0 Reorder the terms: (4 + -6x + 7x2) + (-2x2 + 5x + 1) = 0 Remove parenthesis around (4 + -6x + 7x2) 4 + -6x + 7x2 + (-2x2 + 5x + 1) = 0 Reorder the terms: 4 + -6x + 7x2 + (1 + 5x + -2x2) = 0 Remove parenthesis around (1 + 5x + -2x2) 4 + -6x + 7x2 + 1 + 5x + -2x2 = 0 Reorder the terms: 4 + 1 + -6x + 5x + 7x2 + -2x2 = 0 Combine like terms: 4 + 1 = 5 5 + -6x + 5x + 7x2 + -2x2 = 0 Combine like terms: -6x + 5x = -1x 5 + -1x + 7x2 + -2x2 = 0 Combine like terms: 7x2 + -2x2 = 5x2 5 + -1x + 5x2 = 0 Solving 5 + -1x + 5x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1 + -0.2x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -0.2x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -0.2x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -0.2x + x2 = 0 + -1 -0.2x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -0.2x + x2 = -1 The x term is -0.2x. Take half its coefficient (-0.1). Square it (0.01) and add it to both sides. Add '0.01' to each side of the equation. -0.2x + 0.01 + x2 = -1 + 0.01 Reorder the terms: 0.01 + -0.2x + x2 = -1 + 0.01 Combine like terms: -1 + 0.01 = -0.99 0.01 + -0.2x + x2 = -0.99 Factor a perfect square on the left side: (x + -0.1)(x + -0.1) = -0.99 Can't calculate square root of the right side. The solution to this equation could not be determined.
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