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Simplifying 25x2 + 20x + 25 = 0 Reorder the terms: 25 + 20x + 25x2 = 0 Solving 25 + 20x + 25x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5'. 5(5 + 4x + 5x2) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(5 + 4x + 5x2)' equal to zero and attempt to solve: Simplifying 5 + 4x + 5x2 = 0 Solving 5 + 4x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 1 + 0.8x + x2 = 0 Move the constant term to the right: Add '-1' to each side of the equation. 1 + 0.8x + -1 + x2 = 0 + -1 Reorder the terms: 1 + -1 + 0.8x + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 0.8x + x2 = 0 + -1 0.8x + x2 = 0 + -1 Combine like terms: 0 + -1 = -1 0.8x + x2 = -1 The x term is 0.8x. Take half its coefficient (0.4). Square it (0.16) and add it to both sides. Add '0.16' to each side of the equation. 0.8x + 0.16 + x2 = -1 + 0.16 Reorder the terms: 0.16 + 0.8x + x2 = -1 + 0.16 Combine like terms: -1 + 0.16 = -0.84 0.16 + 0.8x + x2 = -0.84 Factor a perfect square on the left side: (x + 0.4)(x + 0.4) = -0.84 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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