12x^2-180x+700=0

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Solution for 12x^2-180x+700=0 equation:


Simplifying
12x2 + -180x + 700 = 0

Reorder the terms:
700 + -180x + 12x2 = 0

Solving
700 + -180x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(175 + -45x + 3x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(175 + -45x + 3x2)' equal to zero and attempt to solve: Simplifying 175 + -45x + 3x2 = 0 Solving 175 + -45x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 58.33333333 + -15x + x2 = 0 Move the constant term to the right: Add '-58.33333333' to each side of the equation. 58.33333333 + -15x + -58.33333333 + x2 = 0 + -58.33333333 Reorder the terms: 58.33333333 + -58.33333333 + -15x + x2 = 0 + -58.33333333 Combine like terms: 58.33333333 + -58.33333333 = 0.00000000 0.00000000 + -15x + x2 = 0 + -58.33333333 -15x + x2 = 0 + -58.33333333 Combine like terms: 0 + -58.33333333 = -58.33333333 -15x + x2 = -58.33333333 The x term is -15x. Take half its coefficient (-7.5). Square it (56.25) and add it to both sides. Add '56.25' to each side of the equation. -15x + 56.25 + x2 = -58.33333333 + 56.25 Reorder the terms: 56.25 + -15x + x2 = -58.33333333 + 56.25 Combine like terms: -58.33333333 + 56.25 = -2.08333333 56.25 + -15x + x2 = -2.08333333 Factor a perfect square on the left side: (x + -7.5)(x + -7.5) = -2.08333333 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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