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Simplifying (6x2 + 10x + 36) + -1(5x2 + 4x + -2) = 0 Reorder the terms: (36 + 10x + 6x2) + -1(5x2 + 4x + -2) = 0 Remove parenthesis around (36 + 10x + 6x2) 36 + 10x + 6x2 + -1(5x2 + 4x + -2) = 0 Reorder the terms: 36 + 10x + 6x2 + -1(-2 + 4x + 5x2) = 0 36 + 10x + 6x2 + (-2 * -1 + 4x * -1 + 5x2 * -1) = 0 36 + 10x + 6x2 + (2 + -4x + -5x2) = 0 Reorder the terms: 36 + 2 + 10x + -4x + 6x2 + -5x2 = 0 Combine like terms: 36 + 2 = 38 38 + 10x + -4x + 6x2 + -5x2 = 0 Combine like terms: 10x + -4x = 6x 38 + 6x + 6x2 + -5x2 = 0 Combine like terms: 6x2 + -5x2 = 1x2 38 + 6x + 1x2 = 0 Solving 38 + 6x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-38' to each side of the equation. 38 + 6x + -38 + x2 = 0 + -38 Reorder the terms: 38 + -38 + 6x + x2 = 0 + -38 Combine like terms: 38 + -38 = 0 0 + 6x + x2 = 0 + -38 6x + x2 = 0 + -38 Combine like terms: 0 + -38 = -38 6x + x2 = -38 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = -38 + 9 Reorder the terms: 9 + 6x + x2 = -38 + 9 Combine like terms: -38 + 9 = -29 9 + 6x + x2 = -29 Factor a perfect square on the left side: (x + 3)(x + 3) = -29 Can't calculate square root of the right side. The solution to this equation could not be determined.
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