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3\left(x^{2}+4x^{2}+5x\right)
Factor out 3.
x\left(x+4x+5\right)
Consider x^{2}+4x^{2}+5x. Factor out x.
5x+5
Consider x+4x+5. Multiply and combine like terms.
5\left(x+1\right)
Consider 5x+5. Factor out 5.
15\left(x+1\right)x
Rewrite the complete factored expression.
15x\left(x+1\right)
Simplify.
15x^{2}+15x
Combine 3x^{2} and 12x^{2} to get 15x^{2}.