(7x-2)(7x+2)-(5y-2)(5y+2)=0

Simple and best practice solution for (7x-2)(7x+2)-(5y-2)(5y+2)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (7x-2)(7x+2)-(5y-2)(5y+2)=0 equation: 


Simplifying
(7x + -2)(7x + 2) + -1(5y + -2)(5y + 2) = 0

Reorder the terms:
(-2 + 7x)(7x + 2) + -1(5y + -2)(5y + 2) = 0

Reorder the terms:
(-2 + 7x)(2 + 7x) + -1(5y + -2)(5y + 2) = 0

Multiply (-2 + 7x) * (2 + 7x)
(-2(2 + 7x) + 7x * (2 + 7x)) + -1(5y + -2)(5y + 2) = 0
((2 * -2 + 7x * -2) + 7x * (2 + 7x)) + -1(5y + -2)(5y + 2) = 0
((-4 + -14x) + 7x * (2 + 7x)) + -1(5y + -2)(5y + 2) = 0
(-4 + -14x + (2 * 7x + 7x * 7x)) + -1(5y + -2)(5y + 2) = 0
(-4 + -14x + (14x + 49x2)) + -1(5y + -2)(5y + 2) = 0

Combine like terms: -14x + 14x = 0
(-4 + 0 + 49x2) + -1(5y + -2)(5y + 2) = 0
(-4 + 49x2) + -1(5y + -2)(5y + 2) = 0

Reorder the terms:
-4 + 49x2 + -1(-2 + 5y)(5y + 2) = 0

Reorder the terms:
-4 + 49x2 + -1(-2 + 5y)(2 + 5y) = 0

Multiply (-2 + 5y) * (2 + 5y)
-4 + 49x2 + -1(-2(2 + 5y) + 5y * (2 + 5y)) = 0
-4 + 49x2 + -1((2 * -2 + 5y * -2) + 5y * (2 + 5y)) = 0
-4 + 49x2 + -1((-4 + -10y) + 5y * (2 + 5y)) = 0
-4 + 49x2 + -1(-4 + -10y + (2 * 5y + 5y * 5y)) = 0
-4 + 49x2 + -1(-4 + -10y + (10y + 25y2)) = 0

Combine like terms: -10y + 10y = 0
-4 + 49x2 + -1(-4 + 0 + 25y2) = 0
-4 + 49x2 + -1(-4 + 25y2) = 0
-4 + 49x2 + (-4 * -1 + 25y2 * -1) = 0
-4 + 49x2 + (4 + -25y2) = 0

Reorder the terms:
-4 + 4 + 49x2 + -25y2 = 0

Combine like terms: -4 + 4 = 0
0 + 49x2 + -25y2 = 0
49x2 + -25y2 = 0

Solving
49x2 + -25y2 = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '25y2' to each side of the equation.
49x2 + -25y2 + 25y2 = 0 + 25y2

Combine like terms: -25y2 + 25y2 = 0
49x2 + 0 = 0 + 25y2
49x2 = 0 + 25y2
Remove the zero:
49x2 = 25y2

Divide each side by '49'.
x2 = 0.5102040816y2

Simplifying
x2 = 0.5102040816y2

Take the square root of each side:
x = {-0.714285714y, 0.714285714y}

See similar equations:

| 2x^4+3x^3+3x-2=0 | | 9-(12-8x)=4x-(51+8x) | | 4x+4=9x-36 | | 5h-9=-16h+6h | | 3(5y+4)+8=Y | | 4x^3+5x^2+6x=0 | | 42y-45-81y=-32y-7y-2y | | 9+12x-4=7x+26-10x | | 4-9x-15=-11x+29+4x | | 3x+6y=18 | | 9a-21-3a=9a-24+a | | 2n-6=-7 | | 5b-4+3b=6b-9 | | 2x+13=27 | | -3x^2-7+2x=-11 | | Y-39=6 | | 2x^2-8x=-32 | | x-12=120 | | -x+2x+24=0 | | 7h=63 | | -2x^2-4x=0 | | -3x-1=2x-5 | | x+10+1=30 | | x-29=58 | | 20+8(x+7)=100 | | 4n-7=5n-11 | | x+17=-1 | | x+9=3x+9 | | 18+3x=-2x+3 | | .25(16+4x)=-10x-24 | | 4x-7=-2(x-3)+5 | | 2b-a=5 |

Equations solver categories