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Simplifying t + 6 * 5t = 7t * t Multiply 6 * 5 t + 30t = 7t * t Combine like terms: t + 30t = 31t 31t = 7t * t Multiply t * t 31t = 7t2 Solving 31t = 7t2 Solving for variable 't'. Combine like terms: 7t2 + -7t2 = 0 31t + -7t2 = 0 Factor out the Greatest Common Factor (GCF), 't'. t(31 + -7t) = 0Subproblem 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 '(31 + -7t)' equal to zero and attempt to solve: Simplifying 31 + -7t = 0 Solving 31 + -7t = 0 Move all terms containing t to the left, all other terms to the right. Add '-31' to each side of the equation. 31 + -31 + -7t = 0 + -31 Combine like terms: 31 + -31 = 0 0 + -7t = 0 + -31 -7t = 0 + -31 Combine like terms: 0 + -31 = -31 -7t = -31 Divide each side by '-7'. t = 4.428571429 Simplifying t = 4.428571429Solution
t = {0, 4.428571429}
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