3x(5+3x)-4x=x

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


Simplifying
3x(5 + 3x) + -4x = x
(5 * 3x + 3x * 3x) + -4x = x
(15x + 9x2) + -4x = x

Reorder the terms:
15x + -4x + 9x2 = x

Combine like terms: 15x + -4x = 11x
11x + 9x2 = x

Solving
11x + 9x2 = x

Solving for variable 'x'.

Reorder the terms:
11x + -1x + 9x2 = x + -1x

Combine like terms: 11x + -1x = 10x
10x + 9x2 = x + -1x

Combine like terms: x + -1x = 0
10x + 9x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(10 + 9x) = 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 '(10 + 9x)' equal to zero and attempt to solve: Simplifying 10 + 9x = 0 Solving 10 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 9x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 0 + -10 9x = 0 + -10 Combine like terms: 0 + -10 = -10 9x = -10 Divide each side by '9'. x = -1.111111111 Simplifying x = -1.111111111

Solution

x = {0, -1.111111111}

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