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Simplifying 15x2 + 42x + 35 = 0 Reorder the terms: 35 + 42x + 15x2 = 0 Solving 35 + 42x + 15x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 15 the coefficient of the squared term: Divide each side by '15'. 2.333333333 + 2.8x + x2 = 0 Move the constant term to the right: Add '-2.333333333' to each side of the equation. 2.333333333 + 2.8x + -2.333333333 + x2 = 0 + -2.333333333 Reorder the terms: 2.333333333 + -2.333333333 + 2.8x + x2 = 0 + -2.333333333 Combine like terms: 2.333333333 + -2.333333333 = 0.000000000 0.000000000 + 2.8x + x2 = 0 + -2.333333333 2.8x + x2 = 0 + -2.333333333 Combine like terms: 0 + -2.333333333 = -2.333333333 2.8x + x2 = -2.333333333 The x term is 2.8x. Take half its coefficient (1.4). Square it (1.96) and add it to both sides. Add '1.96' to each side of the equation. 2.8x + 1.96 + x2 = -2.333333333 + 1.96 Reorder the terms: 1.96 + 2.8x + x2 = -2.333333333 + 1.96 Combine like terms: -2.333333333 + 1.96 = -0.373333333 1.96 + 2.8x + x2 = -0.373333333 Factor a perfect square on the left side: (x + 1.4)(x + 1.4) = -0.373333333 Can't calculate square root of the right side. The solution to this equation could not be determined.
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