SOLUTION: a^2+b^2=c^2 (2x-2)^2+15^2=(2x+7)^2 4x^2+4+225=8x^2+18x 4+4+225=8+18x 233=8+18x 225=18x 12.5=x Did I solve this correctly? If not, what did I do wrong and how do I solve it

Algebra.Com
Question 455301: a^2+b^2=c^2
(2x-2)^2+15^2=(2x+7)^2
4x^2+4+225=8x^2+18x
4+4+225=8+18x
233=8+18x
225=18x
12.5=x
Did I solve this correctly? If not, what did I do wrong and how do I solve it?

Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
a^2+b^2=c^2
(2x-2)^2+15^2=(2x+7)^2
4x^2 - 8x + 4 + 225 = 4x^2 + 28x + 49
-8x + 229 = 28x + 49
-36x = -180
x = 5
----------
4x^2+4+225=8x^2+18x
4+4+225=8+18x
233=8+18x
225=18x
12.5=x

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
a^2+b^2=c^2
(2x-2)^2+15^2=(2x+7)^2
---
4x^2-8x+4 + 225 = 4x^2+28x+49
-----
-8x+229 = 28x+49
----
36x = 180
---
x = 5
=============
Cheers,
Stan H.

RELATED QUESTIONS

18x^2-4x+4/2x+2 (answered by stanbon)
Solve for $x$: \frac{3x+12}{x+4} = \frac{4x^2 + 8x +... (answered by math_tutor2020)
4x^4-18x^2=0 (answered by rapaljer)
2x^2=... (answered by mananth)
x^2-18x-4=0 (answered by jsmallt9)
Please help me solve this equation: Multiply. (2x^2+4x-5)(x^2+3x+3)... (answered by mukhopadhyay,mbarugel)
2x^4-15x^3+18x^2=0 Solve for... (answered by eggsarecool)
How would I factor this? {{{12(4x-1)^3(2x+5)^9 +3(4x-1)^4(2x+5)^8}}} My attempt:... (answered by jim_thompson5910)
... (answered by jim_thompson5910,checkley71)