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Simplifying 5x2 + 7x + -9 + -15x2 = 0 Reorder the terms: -9 + 7x + 5x2 + -15x2 = 0 Combine like terms: 5x2 + -15x2 = -10x2 -9 + 7x + -10x2 = 0 Solving -9 + 7x + -10x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by -10 the coefficient of the squared term: Divide each side by '-10'. 0.9 + -0.7x + x2 = 0.0 Move the constant term to the right: Add '-0.9' to each side of the equation. 0.9 + -0.7x + -0.9 + x2 = 0.0 + -0.9 Reorder the terms: 0.9 + -0.9 + -0.7x + x2 = 0.0 + -0.9 Combine like terms: 0.9 + -0.9 = 0.0 0.0 + -0.7x + x2 = 0.0 + -0.9 -0.7x + x2 = 0.0 + -0.9 Combine like terms: 0.0 + -0.9 = -0.9 -0.7x + x2 = -0.9 The x term is -0.7x. Take half its coefficient (-0.35). Square it (0.1225) and add it to both sides. Add '0.1225' to each side of the equation. -0.7x + 0.1225 + x2 = -0.9 + 0.1225 Reorder the terms: 0.1225 + -0.7x + x2 = -0.9 + 0.1225 Combine like terms: -0.9 + 0.1225 = -0.7775 0.1225 + -0.7x + x2 = -0.7775 Factor a perfect square on the left side: (x + -0.35)(x + -0.35) = -0.7775 Can't calculate square root of the right side. The solution to this equation could not be determined.
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