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6x^{2}-5x+7-5x-7
Combine 5x^{2} and x^{2} to get 6x^{2}.
6x^{2}-10x+7-7
Combine -5x and -5x to get -10x.
6x^{2}-10x
Subtract 7 from 7 to get 0.
6x^{2}-10x
Multiply and combine like terms.
2\left(3x^{2}-5x\right)
Factor out 2.
x\left(3x-5\right)
Consider 3x^{2}-5x. Factor out x.
2x\left(3x-5\right)
Rewrite the complete factored expression.