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Simplifying 5x2 + 5x = 11x + -5 Reorder the terms: 5x + 5x2 = 11x + -5 Reorder the terms: 5x + 5x2 = -5 + 11x Solving 5x + 5x2 = -5 + 11x Solving for variable 'x'. Reorder the terms: 5 + 5x + -11x + 5x2 = -5 + 11x + 5 + -11x Combine like terms: 5x + -11x = -6x 5 + -6x + 5x2 = -5 + 11x + 5 + -11x Reorder the terms: 5 + -6x + 5x2 = -5 + 5 + 11x + -11x Combine like terms: -5 + 5 = 0 5 + -6x + 5x2 = 0 + 11x + -11x 5 + -6x + 5x2 = 11x + -11x Combine like terms: 11x + -11x = 0 5 + -6x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1 + -1.2x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.2x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -1.2x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.2x + x2 = 0 + -1 -1.2x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.2x + x2 = -1 The x term is -1.2x. Take half its coefficient (-0.6). Square it (0.36) and add it to both sides. Add '0.36' to each side of the equation. -1.2x + 0.36 + x2 = -1 + 0.36 Reorder the terms: 0.36 + -1.2x + x2 = -1 + 0.36 Combine like terms: -1 + 0.36 = -0.64 0.36 + -1.2x + x2 = -0.64 Factor a perfect square on the left side: (x + -0.6)(x + -0.6) = -0.64 Can't calculate square root of the right side. The solution to this equation could not be determined.
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