7t^2-49t=126

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Solution for 7t^2-49t=126 equation:


Simplifying
7t2 + -49t = 126

Reorder the terms:
-49t + 7t2 = 126

Solving
-49t + 7t2 = 126

Solving for variable 't'.

Reorder the terms:
-126 + -49t + 7t2 = 126 + -126

Combine like terms: 126 + -126 = 0
-126 + -49t + 7t2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-18 + -7t + t2) = 0

Factor a trinomial.
7((-2 + -1t)(9 + -1t)) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(-2 + -1t)' equal to zero and attempt to solve: Simplifying -2 + -1t = 0 Solving -2 + -1t = 0 Move all terms containing t to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1t = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1t = 0 + 2 -1t = 0 + 2 Combine like terms: 0 + 2 = 2 -1t = 2 Divide each side by '-1'. t = -2 Simplifying t = -2

Subproblem 2

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

Solution

t = {-2, 9}

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