48x^2=24x-84x

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Solution for 48x^2=24x-84x equation:


Simplifying
48x2 = 24x + -84x

Combine like terms: 24x + -84x = -60x
48x2 = -60x

Solving
48x2 = -60x

Solving for variable 'x'.

Reorder the terms:
60x + 48x2 = -60x + 60x

Combine like terms: -60x + 60x = 0
60x + 48x2 = 0

Factor out the Greatest Common Factor (GCF), '12x'.
12x(5 + 4x) = 0

Ignore the factor 12.

Subproblem 1

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

Subproblem 2

Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25

Solution

x = {0, -1.25}

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