4x^2-40x+400=0

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Solution for 4x^2-40x+400=0 equation:


Simplifying
4x2 + -40x + 400 = 0

Reorder the terms:
400 + -40x + 4x2 = 0

Solving
400 + -40x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(100 + -10x + x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(100 + -10x + x2)' equal to zero and attempt to solve: Simplifying 100 + -10x + x2 = 0 Solving 100 + -10x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-100' to each side of the equation. 100 + -10x + -100 + x2 = 0 + -100 Reorder the terms: 100 + -100 + -10x + x2 = 0 + -100 Combine like terms: 100 + -100 = 0 0 + -10x + x2 = 0 + -100 -10x + x2 = 0 + -100 Combine like terms: 0 + -100 = -100 -10x + x2 = -100 The x term is -10x. Take half its coefficient (-5). Square it (25) and add it to both sides. Add '25' to each side of the equation. -10x + 25 + x2 = -100 + 25 Reorder the terms: 25 + -10x + x2 = -100 + 25 Combine like terms: -100 + 25 = -75 25 + -10x + x2 = -75 Factor a perfect square on the left side: (x + -5)(x + -5) = -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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