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Simplifying -40x + -25x2 = 116 Solving -40x + -25x2 = 116 Solving for variable 'x'. Reorder the terms: -116 + -40x + -25x2 = 116 + -116 Combine like terms: 116 + -116 = 0 -116 + -40x + -25x2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(116 + 40x + 25x2) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(116 + 40x + 25x2)' equal to zero and attempt to solve: Simplifying 116 + 40x + 25x2 = 0 Solving 116 + 40x + 25x2 = 0 Begin completing the square. Divide all terms by 25 the coefficient of the squared term: Divide each side by '25'. 4.64 + 1.6x + x2 = 0 Move the constant term to the right: Add '-4.64' to each side of the equation. 4.64 + 1.6x + -4.64 + x2 = 0 + -4.64 Reorder the terms: 4.64 + -4.64 + 1.6x + x2 = 0 + -4.64 Combine like terms: 4.64 + -4.64 = 0.00 0.00 + 1.6x + x2 = 0 + -4.64 1.6x + x2 = 0 + -4.64 Combine like terms: 0 + -4.64 = -4.64 1.6x + x2 = -4.64 The x term is 1.6x. Take half its coefficient (0.8). Square it (0.64) and add it to both sides. Add '0.64' to each side of the equation. 1.6x + 0.64 + x2 = -4.64 + 0.64 Reorder the terms: 0.64 + 1.6x + x2 = -4.64 + 0.64 Combine like terms: -4.64 + 0.64 = -4 0.64 + 1.6x + x2 = -4 Factor a perfect square on the left side: (x + 0.8)(x + 0.8) = -4 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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