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Simplifying x(x + 3) = 14(x + -4) Reorder the terms: x(3 + x) = 14(x + -4) (3 * x + x * x) = 14(x + -4) (3x + x2) = 14(x + -4) Reorder the terms: 3x + x2 = 14(-4 + x) 3x + x2 = (-4 * 14 + x * 14) 3x + x2 = (-56 + 14x) Solving 3x + x2 = -56 + 14x Solving for variable 'x'. Reorder the terms: 56 + 3x + -14x + x2 = -56 + 14x + 56 + -14x Combine like terms: 3x + -14x = -11x 56 + -11x + x2 = -56 + 14x + 56 + -14x Reorder the terms: 56 + -11x + x2 = -56 + 56 + 14x + -14x Combine like terms: -56 + 56 = 0 56 + -11x + x2 = 0 + 14x + -14x 56 + -11x + x2 = 14x + -14x Combine like terms: 14x + -14x = 0 56 + -11x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-56' to each side of the equation. 56 + -11x + -56 + x2 = 0 + -56 Reorder the terms: 56 + -56 + -11x + x2 = 0 + -56 Combine like terms: 56 + -56 = 0 0 + -11x + x2 = 0 + -56 -11x + x2 = 0 + -56 Combine like terms: 0 + -56 = -56 -11x + x2 = -56 The x term is -11x. Take half its coefficient (-5.5). Square it (30.25) and add it to both sides. Add '30.25' to each side of the equation. -11x + 30.25 + x2 = -56 + 30.25 Reorder the terms: 30.25 + -11x + x2 = -56 + 30.25 Combine like terms: -56 + 30.25 = -25.75 30.25 + -11x + x2 = -25.75 Factor a perfect square on the left side: (x + -5.5)(x + -5.5) = -25.75 Can't calculate square root of the right side. The solution to this equation could not be determined.
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