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Simplifying 0 = 5x2 + -6x + 7 Reorder the terms: 0 = 7 + -6x + 5x2 Solving 0 = 7 + -6x + 5x2 Solving for variable 'x'. Combine like terms: 0 + -7 = -7 -7 + 6x + -5x2 = 7 + -6x + 5x2 + -7 + 6x + -5x2 Reorder the terms: -7 + 6x + -5x2 = 7 + -7 + -6x + 6x + 5x2 + -5x2 Combine like terms: 7 + -7 = 0 -7 + 6x + -5x2 = 0 + -6x + 6x + 5x2 + -5x2 -7 + 6x + -5x2 = -6x + 6x + 5x2 + -5x2 Combine like terms: -6x + 6x = 0 -7 + 6x + -5x2 = 0 + 5x2 + -5x2 -7 + 6x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 -7 + 6x + -5x2 = 0 Begin completing the square. Divide all terms by -5 the coefficient of the squared term: Divide each side by '-5'. 1.4 + -1.2x + x2 = 0 Move the constant term to the right: Add '-1.4' to each side of the equation. 1.4 + -1.2x + -1.4 + x2 = 0 + -1.4 Reorder the terms: 1.4 + -1.4 + -1.2x + x2 = 0 + -1.4 Combine like terms: 1.4 + -1.4 = 0.0 0.0 + -1.2x + x2 = 0 + -1.4 -1.2x + x2 = 0 + -1.4 Combine like terms: 0 + -1.4 = -1.4 -1.2x + x2 = -1.4 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 = -1.4 + 0.36 Reorder the terms: 0.36 + -1.2x + x2 = -1.4 + 0.36 Combine like terms: -1.4 + 0.36 = -1.04 0.36 + -1.2x + x2 = -1.04 Factor a perfect square on the left side: (x + -0.6)(x + -0.6) = -1.04 Can't calculate square root of the right side. The solution to this equation could not be determined.
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