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Simplifying 5x + -7 = 2x2 + 3(3) Reorder the terms: -7 + 5x = 2x2 + 3(3) Multiply 3 * 3 -7 + 5x = 2x2 + 9 Reorder the terms: -7 + 5x = 9 + 2x2 Solving -7 + 5x = 9 + 2x2 Solving for variable 'x'. Reorder the terms: -7 + -9 + 5x + -2x2 = 9 + 2x2 + -9 + -2x2 Combine like terms: -7 + -9 = -16 -16 + 5x + -2x2 = 9 + 2x2 + -9 + -2x2 Reorder the terms: -16 + 5x + -2x2 = 9 + -9 + 2x2 + -2x2 Combine like terms: 9 + -9 = 0 -16 + 5x + -2x2 = 0 + 2x2 + -2x2 -16 + 5x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -16 + 5x + -2x2 = 0 Begin completing the square. Divide all terms by -2 the coefficient of the squared term: Divide each side by '-2'. 8 + -2.5x + x2 = 0 Move the constant term to the right: Add '-8' to each side of the equation. 8 + -2.5x + -8 + x2 = 0 + -8 Reorder the terms: 8 + -8 + -2.5x + x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2.5x + x2 = 0 + -8 -2.5x + x2 = 0 + -8 Combine like terms: 0 + -8 = -8 -2.5x + x2 = -8 The x term is -2.5x. Take half its coefficient (-1.25). Square it (1.5625) and add it to both sides. Add '1.5625' to each side of the equation. -2.5x + 1.5625 + x2 = -8 + 1.5625 Reorder the terms: 1.5625 + -2.5x + x2 = -8 + 1.5625 Combine like terms: -8 + 1.5625 = -6.4375 1.5625 + -2.5x + x2 = -6.4375 Factor a perfect square on the left side: (x + -1.25)(x + -1.25) = -6.4375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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