Solve the equation by factoring: (6x + 5)^2 = 10
Please help

Question

Solve the equation by factoring: (6x + 5)^2 = 10
Please help

whpalmer4 · Answer

Expand it out, then move the 10 to the left side by subtracting 10 from both sides.  Now can you factor it?

stamp · Answer

Evaluate (6x+5)(6x+5). Then set the expression equal to zero, and factor your expression to find the x values that satisfy the equation.

anonymous · Answer

square root both side first so; 6x+5=3.16, then find x value by moving 5 to the other side and divide 6 for both side.

whpalmer4 · Answer

@stamp you'll get the wrong answer if you do so!  the solutions to (6x+5)^2 = 0 are not the same as the solutions to (6x+5)^2 = 10!

whpalmer4 · Answer

@eunsongpark That's not solving by factoring...

stamp · Answer

@whpalmer4 I am saying expand your square term, subtract 10 (thereby setting it equal to 0), simplify your new quadratic expression, then factor to obtain solution.

whpalmer4 · Answer

@stamp okay, I misread your description.  I agree that what you just said will work.

anonymous · Answer

@whpalmer4 oops! you're right. I didn't even read the question carefully;;

anonymous · Answer

thank you for your hardwork

whpalmer4 · Answer

Of course, having insisted that we solve this by factoring, it's an irreducible polynomial!

whpalmer4 · Answer

You could solve it with the quadratic formula, or by completing the square, or just taking the square root as @eunsongpark suggested (I'd leave it in symbolic form rather than writing an approximation for the square root of 10, however).