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Simplifying 32t + -5t3 = 0 Solving 32t + -5t3 = 0 Solving for variable 't'. Factor out the Greatest Common Factor (GCF), 't'. t(32 + -5t2) = 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 '(32 + -5t2)' equal to zero and attempt to solve: Simplifying 32 + -5t2 = 0 Solving 32 + -5t2 = 0 Move all terms containing t to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -5t2 = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -5t2 = 0 + -32 -5t2 = 0 + -32 Combine like terms: 0 + -32 = -32 -5t2 = -32 Divide each side by '-5'. t2 = 6.4 Simplifying t2 = 6.4 Take the square root of each side: t = {-2.529822128, 2.529822128}Solution
t = {0, -2.529822128, 2.529822128}
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