12s^2-10s=2s(x)

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Solution for 12s^2-10s=2s(x) equation:


Simplifying
12s2 + -10s = 2s(x)

Reorder the terms:
-10s + 12s2 = 2s(x)

Multiply s * x
-10s + 12s2 = 2sx

Solving
-10s + 12s2 = 2sx

Solving for variable 's'.

Reorder the terms:
-10s + -2sx + 12s2 = 2sx + -2sx

Combine like terms: 2sx + -2sx = 0
-10s + -2sx + 12s2 = 0

Factor out the Greatest Common Factor (GCF), '2s'.
2s(-5 + -1x + 6s) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0

Subproblem 2

Set the factor '(-5 + -1x + 6s)' equal to zero and attempt to solve: Simplifying -5 + -1x + 6s = 0 Reorder the terms: -5 + 6s + -1x = 0 Solving -5 + 6s + -1x = 0 Move all terms containing s to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 6s + 5 + -1x = 0 + 5 Reorder the terms: -5 + 5 + 6s + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 6s + -1x = 0 + 5 6s + -1x = 0 + 5 Combine like terms: 0 + 5 = 5 6s + -1x = 5 Add 'x' to each side of the equation. 6s + -1x + x = 5 + x Combine like terms: -1x + x = 0 6s + 0 = 5 + x 6s = 5 + x Divide each side by '6'. s = 0.8333333333 + 0.1666666667x Simplifying s = 0.8333333333 + 0.1666666667x

Solution

s = {0, 0.8333333333 + 0.1666666667x}

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