Question
$$4(x-1)^2-25 = 0$$
Answer
$$ \begin{matrix}x_1 = -\dfrac{ 3 }{ 2 } & x_2 = \dfrac{ 7 }{ 2 } \\[1 em] \end{matrix} $$
Explanation
$$ \begin{aligned} 4(x-1)^2-25 &= 0&& \text{simplify left side} \\[1 em]4(x^2-2x+1)-25 &= 0&& \\[1 em]4x^2-8x+4-25 &= 0&& \\[1 em]4x^2-8x-21 &= 0&& \\[1 em] \end{aligned} $$
$ 4x^{2}-8x-21 = 0 $ is a quadratic equation.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this equation.
This page was created using
Equations Solver