(9s+5)(4s-12)=0equation

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Solution for (9s+5)(4s-12)=0equation equation:


Simplifying
(9s + 5)(4s + -12) = 0equation

Reorder the terms:
(5 + 9s)(4s + -12) = 0equation

Reorder the terms:
(5 + 9s)(-12 + 4s) = 0equation

Multiply (5 + 9s) * (-12 + 4s)
(5(-12 + 4s) + 9s * (-12 + 4s)) = 0equation
((-12 * 5 + 4s * 5) + 9s * (-12 + 4s)) = 0equation
((-60 + 20s) + 9s * (-12 + 4s)) = 0equation
(-60 + 20s + (-12 * 9s + 4s * 9s)) = 0equation
(-60 + 20s + (-108s + 36s2)) = 0equation

Combine like terms: 20s + -108s = -88s
(-60 + -88s + 36s2) = 0equation

Anything times zero is zero.
-60 + -88s + 36s2 = 0aeinoqtu

Solving
-60 + -88s + 36s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-15 + -22s + 9s2) = 0

Factor a trinomial.
4((-5 + -9s)(3 + -1s)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-5 + -9s)' equal to zero and attempt to solve: Simplifying -5 + -9s = 0 Solving -5 + -9s = 0 Move all terms containing s to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -9s = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9s = 0 + 5 -9s = 0 + 5 Combine like terms: 0 + 5 = 5 -9s = 5 Divide each side by '-9'. s = -0.5555555556 Simplifying s = -0.5555555556

Subproblem 2

Set the factor '(3 + -1s)' equal to zero and attempt to solve: Simplifying 3 + -1s = 0 Solving 3 + -1s = 0 Move all terms containing s to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1s = 0 + -3 -1s = 0 + -3 Combine like terms: 0 + -3 = -3 -1s = -3 Divide each side by '-1'. s = 3 Simplifying s = 3

Solution

s = {-0.5555555556, 3}

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