(2s-3)(2s-3)=0

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


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

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

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

Multiply (-3 + 2s) * (-3 + 2s)
(-3(-3 + 2s) + 2s * (-3 + 2s)) = 0
((-3 * -3 + 2s * -3) + 2s * (-3 + 2s)) = 0
((9 + -6s) + 2s * (-3 + 2s)) = 0
(9 + -6s + (-3 * 2s + 2s * 2s)) = 0
(9 + -6s + (-6s + 4s2)) = 0

Combine like terms: -6s + -6s = -12s
(9 + -12s + 4s2) = 0

Solving
9 + -12s + 4s2 = 0

Solving for variable 's'.

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

Subproblem 1

Set the factor '(3 + -2s)' equal to zero and attempt to solve: Simplifying 3 + -2s = 0 Solving 3 + -2s = 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 + -2s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2s = 0 + -3 -2s = 0 + -3 Combine like terms: 0 + -3 = -3 -2s = -3 Divide each side by '-2'. s = 1.5 Simplifying s = 1.5

Subproblem 2

Set the factor '(3 + -2s)' equal to zero and attempt to solve: Simplifying 3 + -2s = 0 Solving 3 + -2s = 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 + -2s = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2s = 0 + -3 -2s = 0 + -3 Combine like terms: 0 + -3 = -3 -2s = -3 Divide each side by '-2'. s = 1.5 Simplifying s = 1.5

Solution

s = {1.5, 1.5}

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