5w^2-30w+70=

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Solution for 5w^2-30w+70= equation:


Simplifying
5w2 + -30w + 70 = 0

Reorder the terms:
70 + -30w + 5w2 = 0

Solving
70 + -30w + 5w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '5'.
5(14 + -6w + w2) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(14 + -6w + w2)' equal to zero and attempt to solve: Simplifying 14 + -6w + w2 = 0 Solving 14 + -6w + w2 = 0 Begin completing the square. Move the constant term to the right: Add '-14' to each side of the equation. 14 + -6w + -14 + w2 = 0 + -14 Reorder the terms: 14 + -14 + -6w + w2 = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -6w + w2 = 0 + -14 -6w + w2 = 0 + -14 Combine like terms: 0 + -14 = -14 -6w + w2 = -14 The w term is -6w. Take half its coefficient (-3). Square it (9) and add it to both sides. Add '9' to each side of the equation. -6w + 9 + w2 = -14 + 9 Reorder the terms: 9 + -6w + w2 = -14 + 9 Combine like terms: -14 + 9 = -5 9 + -6w + w2 = -5 Factor a perfect square on the left side: (w + -3)(w + -3) = -5 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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