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Simplifying 25x2 = 16x + -12 Reorder the terms: 25x2 = -12 + 16x Solving 25x2 = -12 + 16x Solving for variable 'x'. Reorder the terms: 12 + -16x + 25x2 = -12 + 16x + 12 + -16x Reorder the terms: 12 + -16x + 25x2 = -12 + 12 + 16x + -16x Combine like terms: -12 + 12 = 0 12 + -16x + 25x2 = 0 + 16x + -16x 12 + -16x + 25x2 = 16x + -16x Combine like terms: 16x + -16x = 0 12 + -16x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 0.48 + -0.64x + x2 = 0 Move the constant term to the right: Add '-0.48' to each side of the equation. 0.48 + -0.64x + -0.48 + x2 = 0 + -0.48 Reorder the terms: 0.48 + -0.48 + -0.64x + x2 = 0 + -0.48 Combine like terms: 0.48 + -0.48 = 0.00 0.00 + -0.64x + x2 = 0 + -0.48 -0.64x + x2 = 0 + -0.48 Combine like terms: 0 + -0.48 = -0.48 -0.64x + x2 = -0.48 The x term is -0.64x. Take half its coefficient (-0.32). Square it (0.1024) and add it to both sides. Add '0.1024' to each side of the equation. -0.64x + 0.1024 + x2 = -0.48 + 0.1024 Reorder the terms: 0.1024 + -0.64x + x2 = -0.48 + 0.1024 Combine like terms: -0.48 + 0.1024 = -0.3776 0.1024 + -0.64x + x2 = -0.3776 Factor a perfect square on the left side: (x + -0.32)(x + -0.32) = -0.3776 Can't calculate square root of the right side. The solution to this equation could not be determined.
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