2x^2-4x+30=0

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Solution for 2x^2-4x+30=0 equation:


Simplifying
2x2 + -4x + 30 = 0

Reorder the terms:
30 + -4x + 2x2 = 0

Solving
30 + -4x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + -2x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(15 + -2x + x2)' equal to zero and attempt to solve: Simplifying 15 + -2x + x2 = 0 Solving 15 + -2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-15' to each side of the equation. 15 + -2x + -15 + x2 = 0 + -15 Reorder the terms: 15 + -15 + -2x + x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -2x + x2 = 0 + -15 -2x + x2 = 0 + -15 Combine like terms: 0 + -15 = -15 -2x + x2 = -15 The x term is -2x. Take half its coefficient (-1). Square it (1) and add it to both sides. Add '1' to each side of the equation. -2x + 1 + x2 = -15 + 1 Reorder the terms: 1 + -2x + x2 = -15 + 1 Combine like terms: -15 + 1 = -14 1 + -2x + x2 = -14 Factor a perfect square on the left side: (x + -1)(x + -1) = -14 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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