0=-3x^2-72x-537

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Solution for 0=-3x^2-72x-537 equation:


Simplifying
0 = -3x2 + -72x + -537

Reorder the terms:
0 = -537 + -72x + -3x2

Solving
0 = -537 + -72x + -3x2

Solving for variable 'x'.

Combine like terms: 0 + 537 = 537
537 + 72x + 3x2 = -537 + -72x + -3x2 + 537 + 72x + 3x2

Reorder the terms:
537 + 72x + 3x2 = -537 + 537 + -72x + 72x + -3x2 + 3x2

Combine like terms: -537 + 537 = 0
537 + 72x + 3x2 = 0 + -72x + 72x + -3x2 + 3x2
537 + 72x + 3x2 = -72x + 72x + -3x2 + 3x2

Combine like terms: -72x + 72x = 0
537 + 72x + 3x2 = 0 + -3x2 + 3x2
537 + 72x + 3x2 = -3x2 + 3x2

Combine like terms: -3x2 + 3x2 = 0
537 + 72x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(179 + 24x + x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(179 + 24x + x2)' equal to zero and attempt to solve: Simplifying 179 + 24x + x2 = 0 Solving 179 + 24x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-179' to each side of the equation. 179 + 24x + -179 + x2 = 0 + -179 Reorder the terms: 179 + -179 + 24x + x2 = 0 + -179 Combine like terms: 179 + -179 = 0 0 + 24x + x2 = 0 + -179 24x + x2 = 0 + -179 Combine like terms: 0 + -179 = -179 24x + x2 = -179 The x term is 24x. Take half its coefficient (12). Square it (144) and add it to both sides. Add '144' to each side of the equation. 24x + 144 + x2 = -179 + 144 Reorder the terms: 144 + 24x + x2 = -179 + 144 Combine like terms: -179 + 144 = -35 144 + 24x + x2 = -35 Factor a perfect square on the left side: (x + 12)(x + 12) = -35 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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