4x^2=4x-80

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Solution for 4x^2=4x-80 equation:


Simplifying
4x2 = 4x + -80

Reorder the terms:
4x2 = -80 + 4x

Solving
4x2 = -80 + 4x

Solving for variable 'x'.

Reorder the terms:
80 + -4x + 4x2 = -80 + 4x + 80 + -4x

Reorder the terms:
80 + -4x + 4x2 = -80 + 80 + 4x + -4x

Combine like terms: -80 + 80 = 0
80 + -4x + 4x2 = 0 + 4x + -4x
80 + -4x + 4x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
80 + -4x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(20 + -1x + x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(20 + -1x + x2)' equal to zero and attempt to solve: Simplifying 20 + -1x + x2 = 0 Solving 20 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + -1x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + -1x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x + x2 = 0 + -20 -1x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 -1x + x2 = -20 The x term is -1x. 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. -1x + 0.25 + x2 = -20 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -20 + 0.25 Combine like terms: -20 + 0.25 = -19.75 0.25 + -1x + x2 = -19.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -19.75 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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