Solved example of equations with square roots
We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $\sqrt{x+7}$ from both sides of the equation
Removing the variable's exponent raising both sides of the equation to the power $2$
Square of the first term: $\left(-\sqrt{x+7}\right)^2 = \left(-\sqrt{x+7}\right)^2$.
Double product of the first by the second: $2\left(-\sqrt{x+7}\right)\left(7\right) = 2\cdot 7\left(-\sqrt{x+7}\right)$.
Square of the second term: $\left(7\right)^2 = 7^2$
Expand $\left(7-\sqrt{x+7}\right)^{2}$
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
Cancel like terms $x$ and $-x$
Divide both sides of the equation by $14$
Simplifying the quotients
Removing the variable's exponent raising both sides of the equation to the power $2$
We need to isolate the dependent variable $x$, we can do that by simultaneously subtracting $7$ from both sides of the equation
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