(5s+3)(2s-6)=0

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Solution for (5s+3)(2s-6)=0 equation:


Simplifying
(5s + 3)(2s + -6) = 0

Reorder the terms:
(3 + 5s)(2s + -6) = 0

Reorder the terms:
(3 + 5s)(-6 + 2s) = 0

Multiply (3 + 5s) * (-6 + 2s)
(3(-6 + 2s) + 5s * (-6 + 2s)) = 0
((-6 * 3 + 2s * 3) + 5s * (-6 + 2s)) = 0
((-18 + 6s) + 5s * (-6 + 2s)) = 0
(-18 + 6s + (-6 * 5s + 2s * 5s)) = 0
(-18 + 6s + (-30s + 10s2)) = 0

Combine like terms: 6s + -30s = -24s
(-18 + -24s + 10s2) = 0

Solving
-18 + -24s + 10s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-9 + -12s + 5s2) = 0

Factor a trinomial.
2((-3 + -5s)(3 + -1s)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-3 + -5s)' equal to zero and attempt to solve: Simplifying -3 + -5s = 0 Solving -3 + -5s = 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 + -5s = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5s = 0 + 3 -5s = 0 + 3 Combine like terms: 0 + 3 = 3 -5s = 3 Divide each side by '-5'. s = -0.6 Simplifying s = -0.6

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 = {-0.6, 3}

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