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Simplifying 4x * 4x + 23x + 15 = 0 Reorder the terms for easier multiplication: 4 * 4x * x + 23x + 15 = 0 Multiply 4 * 4 16x * x + 23x + 15 = 0 Multiply x * x 16x2 + 23x + 15 = 0 Reorder the terms: 15 + 23x + 16x2 = 0 Solving 15 + 23x + 16x2 = 0 Solving for variable 'x'. Begin completing the square. Divide all terms by 16 the coefficient of the squared term: Divide each side by '16'. 0.9375 + 1.4375x + x2 = 0 Move the constant term to the right: Add '-0.9375' to each side of the equation. 0.9375 + 1.4375x + -0.9375 + x2 = 0 + -0.9375 Reorder the terms: 0.9375 + -0.9375 + 1.4375x + x2 = 0 + -0.9375 Combine like terms: 0.9375 + -0.9375 = 0.0000 0.0000 + 1.4375x + x2 = 0 + -0.9375 1.4375x + x2 = 0 + -0.9375 Combine like terms: 0 + -0.9375 = -0.9375 1.4375x + x2 = -0.9375 The x term is 1.4375x. Take half its coefficient (0.71875). Square it (0.5166015625) and add it to both sides. Add '0.5166015625' to each side of the equation. 1.4375x + 0.5166015625 + x2 = -0.9375 + 0.5166015625 Reorder the terms: 0.5166015625 + 1.4375x + x2 = -0.9375 + 0.5166015625 Combine like terms: -0.9375 + 0.5166015625 = -0.4208984375 0.5166015625 + 1.4375x + x2 = -0.4208984375 Factor a perfect square on the left side: (x + 0.71875)(x + 0.71875) = -0.4208984375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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