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Simplifying 0 = 4x2 + -25x + 48 Reorder the terms: 0 = 48 + -25x + 4x2 Solving 0 = 48 + -25x + 4x2 Solving for variable 'x'. Combine like terms: 0 + -48 = -48 -48 + 25x + -4x2 = 48 + -25x + 4x2 + -48 + 25x + -4x2 Reorder the terms: -48 + 25x + -4x2 = 48 + -48 + -25x + 25x + 4x2 + -4x2 Combine like terms: 48 + -48 = 0 -48 + 25x + -4x2 = 0 + -25x + 25x + 4x2 + -4x2 -48 + 25x + -4x2 = -25x + 25x + 4x2 + -4x2 Combine like terms: -25x + 25x = 0 -48 + 25x + -4x2 = 0 + 4x2 + -4x2 -48 + 25x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 -48 + 25x + -4x2 = 0 Begin completing the square. Divide all terms by -4 the coefficient of the squared term: Divide each side by '-4'. 12 + -6.25x + x2 = 0 Move the constant term to the right: Add '-12' to each side of the equation. 12 + -6.25x + -12 + x2 = 0 + -12 Reorder the terms: 12 + -12 + -6.25x + x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6.25x + x2 = 0 + -12 -6.25x + x2 = 0 + -12 Combine like terms: 0 + -12 = -12 -6.25x + x2 = -12 The x term is -6.25x. Take half its coefficient (-3.125). Square it (9.765625) and add it to both sides. Add '9.765625' to each side of the equation. -6.25x + 9.765625 + x2 = -12 + 9.765625 Reorder the terms: 9.765625 + -6.25x + x2 = -12 + 9.765625 Combine like terms: -12 + 9.765625 = -2.234375 9.765625 + -6.25x + x2 = -2.234375 Factor a perfect square on the left side: (x + -3.125)(x + -3.125) = -2.234375 Can't calculate square root of the right side. The solution to this equation could not be determined.
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