Final Answer
$x=\frac{8+\sqrt{8}}{2},\:x=\frac{8-\sqrt{8}}{2}$
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Step-by-step Solution
Problem to solve:
$-3x^2+24x-42=0$
Specify the solving method
1
Factor the polynomial $-3x^2+24x-42$ by it's GCF: $3$
$3\left(-x^2+8x-14\right)=0$
Learn how to solve quadratic equations problems step by step online.
$3\left(-x^2+8x-14\right)=0$
Learn how to solve quadratic equations problems step by step online. Solve the quadratic equation -3x^2+24x-42=0. Factor the polynomial -3x^2+24x-42 by it's GCF: 3. Divide both sides of the equation by 3. Simplifying the quotients. Divide 0 by 3.
Final Answer
$x=\frac{8+\sqrt{8}}{2},\:x=\frac{8-\sqrt{8}}{2}$