4x^2-4x+152=0

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Solution for 4x^2-4x+152=0 equation:


Simplifying
4x2 + -4x + 152 = 0

Reorder the terms:
152 + -4x + 4x2 = 0

Solving
152 + -4x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(38 + -1x + x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(38 + -1x + x2)' equal to zero and attempt to solve: Simplifying 38 + -1x + x2 = 0 Solving 38 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-38' to each side of the equation. 38 + -1x + -38 + x2 = 0 + -38 Reorder the terms: 38 + -38 + -1x + x2 = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -1x + x2 = 0 + -38 -1x + x2 = 0 + -38 Combine like terms: 0 + -38 = -38 -1x + x2 = -38 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 = -38 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -38 + 0.25 Combine like terms: -38 + 0.25 = -37.75 0.25 + -1x + x2 = -37.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -37.75 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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