2(t-7)(t-7)=0

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Solution for 2(t-7)(t-7)=0 equation:


Simplifying
2(t + -7)(t + -7) = 0

Reorder the terms:
2(-7 + t)(t + -7) = 0

Reorder the terms:
2(-7 + t)(-7 + t) = 0

Multiply (-7 + t) * (-7 + t)
2(-7(-7 + t) + t(-7 + t)) = 0
2((-7 * -7 + t * -7) + t(-7 + t)) = 0
2((49 + -7t) + t(-7 + t)) = 0
2(49 + -7t + (-7 * t + t * t)) = 0
2(49 + -7t + (-7t + t2)) = 0

Combine like terms: -7t + -7t = -14t
2(49 + -14t + t2) = 0
(49 * 2 + -14t * 2 + t2 * 2) = 0
(98 + -28t + 2t2) = 0

Solving
98 + -28t + 2t2 = 0

Solving for variable 't'.

Factor out the Greatest Common Factor (GCF), '2'.
2(49 + -14t + t2) = 0

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

Ignore the factor 2.

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 '(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 = {7, 7}

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