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Simplifying 5x2 + 3 = 7x + -2 Reorder the terms: 3 + 5x2 = 7x + -2 Reorder the terms: 3 + 5x2 = -2 + 7x Solving 3 + 5x2 = -2 + 7x Solving for variable 'x'. Reorder the terms: 3 + 2 + -7x + 5x2 = -2 + 7x + 2 + -7x Combine like terms: 3 + 2 = 5 5 + -7x + 5x2 = -2 + 7x + 2 + -7x Reorder the terms: 5 + -7x + 5x2 = -2 + 2 + 7x + -7x Combine like terms: -2 + 2 = 0 5 + -7x + 5x2 = 0 + 7x + -7x 5 + -7x + 5x2 = 7x + -7x Combine like terms: 7x + -7x = 0 5 + -7x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1 + -1.4x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + -1.4x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + -1.4x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1.4x + x2 = 0 + -1 -1.4x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1.4x + x2 = -1 The x term is -1.4x. Take half its coefficient (-0.7). Square it (0.49) and add it to both sides. Add '0.49' to each side of the equation. -1.4x + 0.49 + x2 = -1 + 0.49 Reorder the terms: 0.49 + -1.4x + x2 = -1 + 0.49 Combine like terms: -1 + 0.49 = -0.51 0.49 + -1.4x + x2 = -0.51 Factor a perfect square on the left side: (x + -0.7)(x + -0.7) = -0.51 Can't calculate square root of the right side. The solution to this equation could not be determined.
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