28=t(t-3)

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Solution for 28=t(t-3) equation:


Simplifying
28 = t(t + -3)

Reorder the terms:
28 = t(-3 + t)
28 = (-3 * t + t * t)
28 = (-3t + t2)

Solving
28 = -3t + t2

Solving for variable 't'.

Reorder the terms:
28 + 3t + -1t2 = -3t + 3t + t2 + -1t2

Combine like terms: -3t + 3t = 0
28 + 3t + -1t2 = 0 + t2 + -1t2
28 + 3t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
28 + 3t + -1t2 = 0

Factor a trinomial.
(7 + -1t)(4 + t) = 0

Subproblem 1

Set the factor '(7 + -1t)' equal to zero and attempt to solve: Simplifying 7 + -1t = 0 Solving 7 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1t = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1t = 0 + -7 -1t = 0 + -7 Combine like terms: 0 + -7 = -7 -1t = -7 Divide each side by '-1'. t = 7 Simplifying t = 7

Subproblem 2

Set the factor '(4 + t)' equal to zero and attempt to solve: Simplifying 4 + t = 0 Solving 4 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + t = 0 + -4 Combine like terms: 4 + -4 = 0 0 + t = 0 + -4 t = 0 + -4 Combine like terms: 0 + -4 = -4 t = -4 Simplifying t = -4

Solution

t = {7, -4}

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