t(t+2)=63

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Solution for t(t+2)=63 equation:


Simplifying
t(t + 2) = 63

Reorder the terms:
t(2 + t) = 63
(2 * t + t * t) = 63
(2t + t2) = 63

Solving
2t + t2 = 63

Solving for variable 't'.

Reorder the terms:
-63 + 2t + t2 = 63 + -63

Combine like terms: 63 + -63 = 0
-63 + 2t + t2 = 0

Factor a trinomial.
(-9 + -1t)(7 + -1t) = 0

Subproblem 1

Set the factor '(-9 + -1t)' equal to zero and attempt to solve: Simplifying -9 + -1t = 0 Solving -9 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1t = 0 + 9 -1t = 0 + 9 Combine like terms: 0 + 9 = 9 -1t = 9 Divide each side by '-1'. t = -9 Simplifying t = -9

Subproblem 2

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

Solution

t = {-9, 7}

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