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Simplifying -6t(-7t + 9) = 0 Reorder the terms: -6t(9 + -7t) = 0 (9 * -6t + -7t * -6t) = 0 (-54t + 42t2) = 0 Solving -54t + 42t2 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), '6t'. 6t(-9 + 7t) = 0 Ignore the factor 6.Subproblem 1
Set the factor 't' equal to zero and attempt to solve: Simplifying t = 0 Solving t = 0 Move all terms containing t to the left, all other terms to the right. Simplifying t = 0Subproblem 2
Set the factor '(-9 + 7t)' equal to zero and attempt to solve: Simplifying -9 + 7t = 0 Solving -9 + 7t = 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 + 7t = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7t = 0 + 9 7t = 0 + 9 Combine like terms: 0 + 9 = 9 7t = 9 Divide each side by '7'. t = 1.285714286 Simplifying t = 1.285714286Solution
t = {0, 1.285714286}
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