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Simplifying (2x2 + 7x + 10) + -1(x2 + 2x + -9) = 0 Reorder the terms: (10 + 7x + 2x2) + -1(x2 + 2x + -9) = 0 Remove parenthesis around (10 + 7x + 2x2) 10 + 7x + 2x2 + -1(x2 + 2x + -9) = 0 Reorder the terms: 10 + 7x + 2x2 + -1(-9 + 2x + x2) = 0 10 + 7x + 2x2 + (-9 * -1 + 2x * -1 + x2 * -1) = 0 10 + 7x + 2x2 + (9 + -2x + -1x2) = 0 Reorder the terms: 10 + 9 + 7x + -2x + 2x2 + -1x2 = 0 Combine like terms: 10 + 9 = 19 19 + 7x + -2x + 2x2 + -1x2 = 0 Combine like terms: 7x + -2x = 5x 19 + 5x + 2x2 + -1x2 = 0 Combine like terms: 2x2 + -1x2 = 1x2 19 + 5x + 1x2 = 0 Solving 19 + 5x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-19' to each side of the equation. 19 + 5x + -19 + x2 = 0 + -19 Reorder the terms: 19 + -19 + 5x + x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + 5x + x2 = 0 + -19 5x + x2 = 0 + -19 Combine like terms: 0 + -19 = -19 5x + x2 = -19 The x term is 5x. Take half its coefficient (2.5). Square it (6.25) and add it to both sides. Add '6.25' to each side of the equation. 5x + 6.25 + x2 = -19 + 6.25 Reorder the terms: 6.25 + 5x + x2 = -19 + 6.25 Combine like terms: -19 + 6.25 = -12.75 6.25 + 5x + x2 = -12.75 Factor a perfect square on the left side: (x + 2.5)(x + 2.5) = -12.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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