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Simplifying -490t2 + 1260t = 810 Reorder the terms: 1260t + -490t2 = 810 Solving 1260t + -490t2 = 810 Solving for variable 't'. Reorder the terms: -810 + 1260t + -490t2 = 810 + -810 Combine like terms: 810 + -810 = 0 -810 + 1260t + -490t2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-81 + 126t + -49t2) = 0 Factor a trinomial. 10((-9 + 7t)(9 + -7t)) = 0 Ignore the factor 10.Subproblem 1
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 = 1.285714286Subproblem 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 = {1.285714286, 1.285714286}
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