5x(4+3x)=23x

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Solution for 5x(4+3x)=23x equation:


Simplifying
5x(4 + 3x) = 23x
(4 * 5x + 3x * 5x) = 23x
(20x + 15x2) = 23x

Solving
20x + 15x2 = 23x

Solving for variable 'x'.

Reorder the terms:
20x + -23x + 15x2 = 23x + -23x

Combine like terms: 20x + -23x = -3x
-3x + 15x2 = 23x + -23x

Combine like terms: 23x + -23x = 0
-3x + 15x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(-1 + 5x) = 0

Ignore the factor 3.

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 '(-1 + 5x)' equal to zero and attempt to solve: Simplifying -1 + 5x = 0 Solving -1 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 5x = 0 + 1 5x = 0 + 1 Combine like terms: 0 + 1 = 1 5x = 1 Divide each side by '5'. x = 0.2 Simplifying x = 0.2

Solution

x = {0, 0.2}

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