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Simplifying 25x2 + 40x + 400 = 0 Reorder the terms: 400 + 40x + 25x2 = 0 Solving 400 + 40x + 25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(80 + 8x + 5x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(80 + 8x + 5x2)' equal to zero and attempt to solve: Simplifying 80 + 8x + 5x2 = 0 Solving 80 + 8x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 16 + 1.6x + x2 = 0 Move the constant term to the right: Add '-16' to each side of the equation. 16 + 1.6x + -16 + x2 = 0 + -16 Reorder the terms: 16 + -16 + 1.6x + x2 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 1.6x + x2 = 0 + -16 1.6x + x2 = 0 + -16 Combine like terms: 0 + -16 = -16 1.6x + x2 = -16 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 = -16 + 0.64 Reorder the terms: 0.64 + 1.6x + x2 = -16 + 0.64 Combine like terms: -16 + 0.64 = -15.36 0.64 + 1.6x + x2 = -15.36 Factor a perfect square on the left side: (x + 0.8)(x + 0.8) = -15.36 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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