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Simplifying 400(t) = 70t + -3t2 Solving 400t = 70t + -3t2 Solving for variable 't'. Combine like terms: 400t + -70t = 330t 330t + 3t2 = 70t + -3t2 + -70t + 3t2 Reorder the terms: 330t + 3t2 = 70t + -70t + -3t2 + 3t2 Combine like terms: 70t + -70t = 0 330t + 3t2 = 0 + -3t2 + 3t2 330t + 3t2 = -3t2 + 3t2 Combine like terms: -3t2 + 3t2 = 0 330t + 3t2 = 0 Factor out the Greatest Common Factor (GCF), '3t'. 3t(110 + t) = 0 Ignore the factor 3.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 '(110 + t)' equal to zero and attempt to solve: Simplifying 110 + t = 0 Solving 110 + t = 0 Move all terms containing t to the left, all other terms to the right. Add '-110' to each side of the equation. 110 + -110 + t = 0 + -110 Combine like terms: 110 + -110 = 0 0 + t = 0 + -110 t = 0 + -110 Combine like terms: 0 + -110 = -110 t = -110 Simplifying t = -110Solution
t = {0, -110}
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