21u^2+70=217u

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Solution for 21u^2+70=217u equation:


Simplifying
21u2 + 70 = 217u

Reorder the terms:
70 + 21u2 = 217u

Solving
70 + 21u2 = 217u

Solving for variable 'u'.

Reorder the terms:
70 + -217u + 21u2 = 217u + -217u

Combine like terms: 217u + -217u = 0
70 + -217u + 21u2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(10 + -31u + 3u2) = 0

Factor a trinomial.
7((1 + -3u)(10 + -1u)) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(1 + -3u)' equal to zero and attempt to solve: Simplifying 1 + -3u = 0 Solving 1 + -3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -3u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3u = 0 + -1 -3u = 0 + -1 Combine like terms: 0 + -1 = -1 -3u = -1 Divide each side by '-3'. u = 0.3333333333 Simplifying u = 0.3333333333

Subproblem 2

Set the factor '(10 + -1u)' equal to zero and attempt to solve: Simplifying 10 + -1u = 0 Solving 10 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1u = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1u = 0 + -10 -1u = 0 + -10 Combine like terms: 0 + -10 = -10 -1u = -10 Divide each side by '-1'. u = 10 Simplifying u = 10

Solution

u = {0.3333333333, 10}

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