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Simplifying 10 = -16T2 + 18T + 10 Reorder the terms: 10 = 10 + 18T + -16T2 Add '-10' to each side of the equation. 10 + -10 = 10 + 18T + -10 + -16T2 Combine like terms: 10 + -10 = 0 0 = 10 + 18T + -10 + -16T2 Reorder the terms: 0 = 10 + -10 + 18T + -16T2 Combine like terms: 10 + -10 = 0 0 = 0 + 18T + -16T2 0 = 18T + -16T2 Solving 0 = 18T + -16T2 Solving for variable 'T'. Remove the zero: -18T + 16T2 = 18T + -16T2 + -18T + 16T2 Reorder the terms: -18T + 16T2 = 18T + -18T + -16T2 + 16T2 Combine like terms: 18T + -18T = 0 -18T + 16T2 = 0 + -16T2 + 16T2 -18T + 16T2 = -16T2 + 16T2 Combine like terms: -16T2 + 16T2 = 0 -18T + 16T2 = 0 Factor out the Greatest Common Factor (GCF), '2T'. 2T(-9 + 8T) = 0 Ignore the factor 2.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 + 8T)' equal to zero and attempt to solve: Simplifying -9 + 8T = 0 Solving -9 + 8T = 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 + 8T = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 8T = 0 + 9 8T = 0 + 9 Combine like terms: 0 + 9 = 9 8T = 9 Divide each side by '8'. T = 1.125 Simplifying T = 1.125Solution
T = {0, 1.125}
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