3w^2-3w=-75

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Solution for 3w^2-3w=-75 equation:


Simplifying
3w2 + -3w = -75

Reorder the terms:
-3w + 3w2 = -75

Solving
-3w + 3w2 = -75

Solving for variable 'w'.

Reorder the terms:
75 + -3w + 3w2 = -75 + 75

Combine like terms: -75 + 75 = 0
75 + -3w + 3w2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(25 + -1w + w2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(25 + -1w + w2)' equal to zero and attempt to solve: Simplifying 25 + -1w + w2 = 0 Solving 25 + -1w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-25' to each side of the equation. 25 + -1w + -25 + w2 = 0 + -25 Reorder the terms: 25 + -25 + -1w + w2 = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1w + w2 = 0 + -25 -1w + w2 = 0 + -25 Combine like terms: 0 + -25 = -25 -1w + w2 = -25 The w term is -1w. 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. -1w + 0.25 + w2 = -25 + 0.25 Reorder the terms: 0.25 + -1w + w2 = -25 + 0.25 Combine like terms: -25 + 0.25 = -24.75 0.25 + -1w + w2 = -24.75 Factor a perfect square on the left side: (w + -0.5)(w + -0.5) = -24.75 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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