Final Answer
$x=\frac{2+\sqrt{2}i}{2},\:x=\frac{2-\sqrt{2}i}{2}$
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Step-by-step Solution
Problem to solve:
$x^2-3=3x^2-4x$
Specify the solving method
1
Factor the polynomial $3x^2-4x$ by it's greatest common factor (GCF): $x$
$x^2-3=x\left(3x-4\right)$
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$x^2-3=x\left(3x-4\right)$
Learn how to solve problems step by step online. Solve the quadratic equation x^2-3=3x^2-4x. Factor the polynomial 3x^2-4x by it's greatest common factor (GCF): x. We need to isolate the dependent variable x, we can do that by simultaneously subtracting -3 from both sides of the equation. Solve the product x\left(3x-4\right). Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side.
Final Answer
$x=\frac{2+\sqrt{2}i}{2},\:x=\frac{2-\sqrt{2}i}{2}$