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Simplifying 25x2 = 20(5x + -6) Reorder the terms: 25x2 = 20(-6 + 5x) 25x2 = (-6 * 20 + 5x * 20) 25x2 = (-120 + 100x) Solving 25x2 = -120 + 100x Solving for variable 'x'. Reorder the terms: 120 + -100x + 25x2 = -120 + 100x + 120 + -100x Reorder the terms: 120 + -100x + 25x2 = -120 + 120 + 100x + -100x Combine like terms: -120 + 120 = 0 120 + -100x + 25x2 = 0 + 100x + -100x 120 + -100x + 25x2 = 100x + -100x Combine like terms: 100x + -100x = 0 120 + -100x + 25x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(24 + -20x + 5x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(24 + -20x + 5x2)' equal to zero and attempt to solve: Simplifying 24 + -20x + 5x2 = 0 Solving 24 + -20x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 4.8 + -4x + x2 = 0 Move the constant term to the right: Add '-4.8' to each side of the equation. 4.8 + -4x + -4.8 + x2 = 0 + -4.8 Reorder the terms: 4.8 + -4.8 + -4x + x2 = 0 + -4.8 Combine like terms: 4.8 + -4.8 = 0.0 0.0 + -4x + x2 = 0 + -4.8 -4x + x2 = 0 + -4.8 Combine like terms: 0 + -4.8 = -4.8 -4x + x2 = -4.8 The x term is -4x. Take half its coefficient (-2). Square it (4) and add it to both sides. Add '4' to each side of the equation. -4x + 4 + x2 = -4.8 + 4 Reorder the terms: 4 + -4x + x2 = -4.8 + 4 Combine like terms: -4.8 + 4 = -0.8 4 + -4x + x2 = -0.8 Factor a perfect square on the left side: (x + -2)(x + -2) = -0.8 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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