(u-3)(u+7)=

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Solution for (u-3)(u+7)= equation:


Simplifying
(u + -3)(u + 7) = 0

Reorder the terms:
(-3 + u)(u + 7) = 0

Reorder the terms:
(-3 + u)(7 + u) = 0

Multiply (-3 + u) * (7 + u)
(-3(7 + u) + u(7 + u)) = 0
((7 * -3 + u * -3) + u(7 + u)) = 0
((-21 + -3u) + u(7 + u)) = 0
(-21 + -3u + (7 * u + u * u)) = 0
(-21 + -3u + (7u + u2)) = 0

Combine like terms: -3u + 7u = 4u
(-21 + 4u + u2) = 0

Solving
-21 + 4u + u2 = 0

Solving for variable 'u'.

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

Subproblem 1

Set the factor '(-7 + -1u)' equal to zero and attempt to solve: Simplifying -7 + -1u = 0 Solving -7 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1u = 0 + 7 -1u = 0 + 7 Combine like terms: 0 + 7 = 7 -1u = 7 Divide each side by '-1'. u = -7 Simplifying u = -7

Subproblem 2

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

Solution

u = {-7, 3}

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