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Simplifying 40x2 + 40x + 1040 = 0 Reorder the terms: 1040 + 40x + 40x2 = 0 Solving 1040 + 40x + 40x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '40'. 40(26 + x + x2) = 0 Ignore the factor 40.Subproblem 1
Set the factor '(26 + x + x2)' equal to zero and attempt to solve: Simplifying 26 + x + x2 = 0 Solving 26 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-26' to each side of the equation. 26 + x + -26 + x2 = 0 + -26 Reorder the terms: 26 + -26 + x + x2 = 0 + -26 Combine like terms: 26 + -26 = 0 0 + x + x2 = 0 + -26 x + x2 = 0 + -26 Combine like terms: 0 + -26 = -26 x + x2 = -26 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. x + 0.25 + x2 = -26 + 0.25 Reorder the terms: 0.25 + x + x2 = -26 + 0.25 Combine like terms: -26 + 0.25 = -25.75 0.25 + x + x2 = -25.75 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = -25.75 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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