9x^2*4=13x

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Solution for 9x^2*4=13x equation:


Simplifying
9x2 * 4 = 13x

Reorder the terms for easier multiplication:
9 * 4x2 = 13x

Multiply 9 * 4
36x2 = 13x

Solving
36x2 = 13x

Solving for variable 'x'.

Reorder the terms:
-13x + 36x2 = 13x + -13x

Combine like terms: 13x + -13x = 0
-13x + 36x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-13 + 36x) = 0

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 '(-13 + 36x)' equal to zero and attempt to solve: Simplifying -13 + 36x = 0 Solving -13 + 36x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + 36x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + 36x = 0 + 13 36x = 0 + 13 Combine like terms: 0 + 13 = 13 36x = 13 Divide each side by '36'. x = 0.3611111111 Simplifying x = 0.3611111111

Solution

x = {0, 0.3611111111}

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