(u-4)(u+7)=

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Solution for (u-4)(u+7)= equation:


Simplifying
(u + -4)(u + 7) = 0

Reorder the terms:
(-4 + u)(u + 7) = 0

Reorder the terms:
(-4 + u)(7 + u) = 0

Multiply (-4 + u) * (7 + u)
(-4(7 + u) + u(7 + u)) = 0
((7 * -4 + u * -4) + u(7 + u)) = 0
((-28 + -4u) + u(7 + u)) = 0
(-28 + -4u + (7 * u + u * u)) = 0
(-28 + -4u + (7u + u2)) = 0

Combine like terms: -4u + 7u = 3u
(-28 + 3u + u2) = 0

Solving
-28 + 3u + u2 = 0

Solving for variable 'u'.

Factor a trinomial.
(-7 + -1u)(4 + -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 '(4 + -1u)' equal to zero and attempt to solve: Simplifying 4 + -1u = 0 Solving 4 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1u = 0 + -4 -1u = 0 + -4 Combine like terms: 0 + -4 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4

Solution

u = {-7, 4}

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