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Simplifying 4(x2 + -3x + 5) + -3(x2 + -2x + 1) = 0 Reorder the terms: 4(5 + -3x + x2) + -3(x2 + -2x + 1) = 0 (5 * 4 + -3x * 4 + x2 * 4) + -3(x2 + -2x + 1) = 0 (20 + -12x + 4x2) + -3(x2 + -2x + 1) = 0 Reorder the terms: 20 + -12x + 4x2 + -3(1 + -2x + x2) = 0 20 + -12x + 4x2 + (1 * -3 + -2x * -3 + x2 * -3) = 0 20 + -12x + 4x2 + (-3 + 6x + -3x2) = 0 Reorder the terms: 20 + -3 + -12x + 6x + 4x2 + -3x2 = 0 Combine like terms: 20 + -3 = 17 17 + -12x + 6x + 4x2 + -3x2 = 0 Combine like terms: -12x + 6x = -6x 17 + -6x + 4x2 + -3x2 = 0 Combine like terms: 4x2 + -3x2 = 1x2 17 + -6x + 1x2 = 0 Solving 17 + -6x + 1x2 = 0 Solving for variable 'x'. Begin completing the square. Move the constant term to the right: Add '-17' to each side of the equation. 17 + -6x + -17 + x2 = 0 + -17 Reorder the terms: 17 + -17 + -6x + x2 = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -6x + x2 = 0 + -17 -6x + x2 = 0 + -17 Combine like terms: 0 + -17 = -17 -6x + x2 = -17 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 = -17 + 9 Reorder the terms: 9 + -6x + x2 = -17 + 9 Combine like terms: -17 + 9 = -8 9 + -6x + x2 = -8 Factor a perfect square on the left side: (x + -3)(x + -3) = -8 Can't calculate square root of the right side. The solution to this equation could not be determined.
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