3u(u-1)=(3u+4)(u-5)

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Solution for 3u(u-1)=(3u+4)(u-5) equation:


Simplifying
3u(u + -1) = (3u + 4)(u + -5)

Reorder the terms:
3u(-1 + u) = (3u + 4)(u + -5)
(-1 * 3u + u * 3u) = (3u + 4)(u + -5)
(-3u + 3u2) = (3u + 4)(u + -5)

Reorder the terms:
-3u + 3u2 = (4 + 3u)(u + -5)

Reorder the terms:
-3u + 3u2 = (4 + 3u)(-5 + u)

Multiply (4 + 3u) * (-5 + u)
-3u + 3u2 = (4(-5 + u) + 3u * (-5 + u))
-3u + 3u2 = ((-5 * 4 + u * 4) + 3u * (-5 + u))
-3u + 3u2 = ((-20 + 4u) + 3u * (-5 + u))
-3u + 3u2 = (-20 + 4u + (-5 * 3u + u * 3u))
-3u + 3u2 = (-20 + 4u + (-15u + 3u2))

Combine like terms: 4u + -15u = -11u
-3u + 3u2 = (-20 + -11u + 3u2)

Add '-3u2' to each side of the equation.
-3u + 3u2 + -3u2 = -20 + -11u + 3u2 + -3u2

Combine like terms: 3u2 + -3u2 = 0
-3u + 0 = -20 + -11u + 3u2 + -3u2
-3u = -20 + -11u + 3u2 + -3u2

Combine like terms: 3u2 + -3u2 = 0
-3u = -20 + -11u + 0
-3u = -20 + -11u

Solving
-3u = -20 + -11u

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '11u' to each side of the equation.
-3u + 11u = -20 + -11u + 11u

Combine like terms: -3u + 11u = 8u
8u = -20 + -11u + 11u

Combine like terms: -11u + 11u = 0
8u = -20 + 0
8u = -20

Divide each side by '8'.
u = -2.5

Simplifying
u = -2.5

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