2x^2-16x=16

Simple and best practice solution for 2x^2-16x=16 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 2x^2-16x=16 equation:


Simplifying
2x2 + -16x = 16

Reorder the terms:
-16x + 2x2 = 16

Solving
-16x + 2x2 = 16

Solving for variable 'x'.

Reorder the terms:
-16 + -16x + 2x2 = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + -16x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-8 + -8x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-8 + -8x + x2)' equal to zero and attempt to solve: Simplifying -8 + -8x + x2 = 0 Solving -8 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '8' to each side of the equation. -8 + -8x + 8 + x2 = 0 + 8 Reorder the terms: -8 + 8 + -8x + x2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -8x + x2 = 0 + 8 -8x + x2 = 0 + 8 Combine like terms: 0 + 8 = 8 -8x + x2 = 8 The x term is -8x. Take half its coefficient (-4). Square it (16) and add it to both sides. Add '16' to each side of the equation. -8x + 16 + x2 = 8 + 16 Reorder the terms: 16 + -8x + x2 = 8 + 16 Combine like terms: 8 + 16 = 24 16 + -8x + x2 = 24 Factor a perfect square on the left side: (x + -4)(x + -4) = 24 Calculate the square root of the right side: 4.898979486 Break this problem into two subproblems by setting (x + -4) equal to 4.898979486 and -4.898979486.

Subproblem 1

x + -4 = 4.898979486 Simplifying x + -4 = 4.898979486 Reorder the terms: -4 + x = 4.898979486 Solving -4 + x = 4.898979486 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 4.898979486 + 4 Combine like terms: -4 + 4 = 0 0 + x = 4.898979486 + 4 x = 4.898979486 + 4 Combine like terms: 4.898979486 + 4 = 8.898979486 x = 8.898979486 Simplifying x = 8.898979486

Subproblem 2

x + -4 = -4.898979486 Simplifying x + -4 = -4.898979486 Reorder the terms: -4 + x = -4.898979486 Solving -4 + x = -4.898979486 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = -4.898979486 + 4 Combine like terms: -4 + 4 = 0 0 + x = -4.898979486 + 4 x = -4.898979486 + 4 Combine like terms: -4.898979486 + 4 = -0.898979486 x = -0.898979486 Simplifying x = -0.898979486

Solution

The solution to the problem is based on the solutions from the subproblems. x = {8.898979486, -0.898979486}

Solution

x = {8.898979486, -0.898979486}

See similar equations:

| 7(x-56+4x)+132=1545 | | -4(x+3)=15-x | | 7x+5y=-14 | | 4(x-2.1)=5.2 | | 7x-(5+4x)= | | x+x+75000=625000000 | | -4(x+3)=15x | | y-3=.1(x+9) | | 5x+7.73=2x+11 | | -10x=-160+30x | | p^2+22p=9 | | 20x+30=10x | | 0.07x=2.38 | | (2,-1);m=5/4 | | y-5=6(x+7) | | X-6=2.87 | | 70=7(m+3.3) | | -6y=3.72 | | y=9-(x-3) | | 3=3/4n-18 | | (4y^3/8z^6)^5 | | 6y-15y-19=-19 | | X+2.9=8.6 | | y-2=-4(x-10) | | (2x-3)+(7x+4)= | | 10(6.6)+15= | | y-5=-9(x+1) | | 17-3x=2+7x | | 2x-8yi=-2+4yi | | 5(x-2)=16-x | | y-3=16(x-6) | | 104=12x+w |

Equations solver categories