Solving one quadratic equals another

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So say we have two quadratic equations, both in $ax^2+bx+x$ format. And they equal one another: $4x^2+5x+7=5x^2+14x-6$ How would you solve it?

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you can move all Terms to one side: at first $$-4x^2$$ then $$-5x$$ and $$-7$$ and we get $$0=x^2+9x-13$$ can you solve this equation?