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Simplifying 49x2 + 64x + 36 = 0 Reorder the terms: 36 + 64x + 49x2 = 0 Solving 36 + 64x + 49x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 49 the coefficient of the squared term: Divide each side by '49'. 0.7346938776 + 1.306122449x + x2 = 0 Move the constant term to the right: Add '-0.7346938776' to each side of the equation. 0.7346938776 + 1.306122449x + -0.7346938776 + x2 = 0 + -0.7346938776 Reorder the terms: 0.7346938776 + -0.7346938776 + 1.306122449x + x2 = 0 + -0.7346938776 Combine like terms: 0.7346938776 + -0.7346938776 = 0.0000000000 0.0000000000 + 1.306122449x + x2 = 0 + -0.7346938776 1.306122449x + x2 = 0 + -0.7346938776 Combine like terms: 0 + -0.7346938776 = -0.7346938776 1.306122449x + x2 = -0.7346938776 The x term is 1.306122449x. Take half its coefficient (0.6530612245). Square it (0.4264889629) and add it to both sides. Add '0.4264889629' to each side of the equation. 1.306122449x + 0.4264889629 + x2 = -0.7346938776 + 0.4264889629 Reorder the terms: 0.4264889629 + 1.306122449x + x2 = -0.7346938776 + 0.4264889629 Combine like terms: -0.7346938776 + 0.4264889629 = -0.3082049147 0.4264889629 + 1.306122449x + x2 = -0.3082049147 Factor a perfect square on the left side: (x + 0.6530612245)(x + 0.6530612245) = -0.3082049147 Can't calculate square root of the right side. The solution to this equation could not be determined.
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