x(x+5)=66x^2

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Solution for x(x+5)=66x^2 equation:


Simplifying
x(x + 5) = 66x2

Reorder the terms:
x(5 + x) = 66x2
(5 * x + x * x) = 66x2
(5x + x2) = 66x2

Solving
5x + x2 = 66x2

Solving for variable 'x'.

Combine like terms: x2 + -66x2 = -65x2
5x + -65x2 = 66x2 + -66x2

Combine like terms: 66x2 + -66x2 = 0
5x + -65x2 = 0

Factor out the Greatest Common Factor (GCF), '5x'.
5x(1 + -13x) = 0

Ignore the factor 5.

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 + -13x)' equal to zero and attempt to solve: Simplifying 1 + -13x = 0 Solving 1 + -13x = 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 + -13x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -13x = 0 + -1 -13x = 0 + -1 Combine like terms: 0 + -1 = -1 -13x = -1 Divide each side by '-13'. x = 0.07692307692 Simplifying x = 0.07692307692

Solution

x = {0, 0.07692307692}

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