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Simplifying
-14u(-18u + 10u) + -10 = 18
Combine like terms: -18u + 10u = -8u
-14u(-8u) + -10 = 18
Remove parenthesis around (-8u)
-14u * -8u + -10 = 18
Reorder the terms for easier multiplication:
-14 * -8u * u + -10 = 18
Multiply -14 * -8
112u * u + -10 = 18
Multiply u * u
112u2 + -10 = 18
Reorder the terms:
-10 + 112u2 = 18
Solving
-10 + 112u2 = 18
Solving for variable 'u'.
Move all terms containing u to the left, all other terms to the right.
Add '10' to each side of the equation.
-10 + 10 + 112u2 = 18 + 10
Combine like terms: -10 + 10 = 0
0 + 112u2 = 18 + 10
112u2 = 18 + 10
Combine like terms: 18 + 10 = 28
112u2 = 28
Divide each side by '112'.
u2 = 0.25
Simplifying
u2 = 0.25
Take the square root of each side:
u = {-0.5, 0.5}
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