7=t(t-6)

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Solution for 7=t(t-6) equation:


Simplifying
7 = t(t + -6)

Reorder the terms:
7 = t(-6 + t)
7 = (-6 * t + t * t)
7 = (-6t + t2)

Solving
7 = -6t + t2

Solving for variable 't'.

Reorder the terms:
7 + 6t + -1t2 = -6t + 6t + t2 + -1t2

Combine like terms: -6t + 6t = 0
7 + 6t + -1t2 = 0 + t2 + -1t2
7 + 6t + -1t2 = t2 + -1t2

Combine like terms: t2 + -1t2 = 0
7 + 6t + -1t2 = 0

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

Solution

t = {7, -1}

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