2x+4=2x^2-1

Simple and best practice solution for 2x+4=2x^2-1 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+4=2x^2-1 equation:


Simplifying
2x + 4 = 2x2 + -1

Reorder the terms:
4 + 2x = 2x2 + -1

Reorder the terms:
4 + 2x = -1 + 2x2

Solving
4 + 2x = -1 + 2x2

Solving for variable 'x'.

Reorder the terms:
4 + 1 + 2x + -2x2 = -1 + 2x2 + 1 + -2x2

Combine like terms: 4 + 1 = 5
5 + 2x + -2x2 = -1 + 2x2 + 1 + -2x2

Reorder the terms:
5 + 2x + -2x2 = -1 + 1 + 2x2 + -2x2

Combine like terms: -1 + 1 = 0
5 + 2x + -2x2 = 0 + 2x2 + -2x2
5 + 2x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
5 + 2x + -2x2 = 0

Begin completing the square.  Divide all terms by
-2 the coefficient of the squared term: 

Divide each side by '-2'.
-2.5 + -1x + x2 = 0

Move the constant term to the right:

Add '2.5' to each side of the equation.
-2.5 + -1x + 2.5 + x2 = 0 + 2.5

Reorder the terms:
-2.5 + 2.5 + -1x + x2 = 0 + 2.5

Combine like terms: -2.5 + 2.5 = 0.0
0.0 + -1x + x2 = 0 + 2.5
-1x + x2 = 0 + 2.5

Combine like terms: 0 + 2.5 = 2.5
-1x + x2 = 2.5

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = 2.5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 2.5 + 0.25

Combine like terms: 2.5 + 0.25 = 2.75
0.25 + -1x + x2 = 2.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 2.75

Calculate the square root of the right side: 1.658312395

Break this problem into two subproblems by setting 
(x + -0.5) equal to 1.658312395 and -1.658312395.

Subproblem 1

x + -0.5 = 1.658312395 Simplifying x + -0.5 = 1.658312395 Reorder the terms: -0.5 + x = 1.658312395 Solving -0.5 + x = 1.658312395 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = 1.658312395 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = 1.658312395 + 0.5 x = 1.658312395 + 0.5 Combine like terms: 1.658312395 + 0.5 = 2.158312395 x = 2.158312395 Simplifying x = 2.158312395

Subproblem 2

x + -0.5 = -1.658312395 Simplifying x + -0.5 = -1.658312395 Reorder the terms: -0.5 + x = -1.658312395 Solving -0.5 + x = -1.658312395 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = -1.658312395 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = -1.658312395 + 0.5 x = -1.658312395 + 0.5 Combine like terms: -1.658312395 + 0.5 = -1.158312395 x = -1.158312395 Simplifying x = -1.158312395

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.158312395, -1.158312395}

See similar equations:

| 3i+7= | | 0=q^2-2q+2 | | C(q)=q^2-2q+2 | | 16(X+7)=8(X+1)+2X | | 2r^2+9r+9= | | (2x^2-18x+16)(x-8)=0 | | x^2+2x-4=56 | | (2x+1)(x+1)=91 | | 4x+x=60 | | 8k-[k+(-4+6k)]= | | x^2+4x=56 | | 0.1n=2 | | 0.90x+.05(8-x)=.10(38) | | 2x^2+2y^2-16x+8y-10=0 | | .35x+.05(8-x)=.10(-32) | | 4w^2-48w+80=0 | | 9x^2+16= | | x=-9x-72 | | x=-9-72 | | 16(X+7)=8(X+1) | | 16X+112=8X+8 | | 4-y^2=0 | | 2x-4(x+1)=(6x+4)+x | | 18x^3-10x^2+63x-35=0 | | 14x+4=11x+1 | | 5y+30=0 | | 11-4[3(a+5)-2a]= | | 14=(.31944)*6.28x | | 66-2x=3x+11 | | -22-3x=10-6x | | 13w^2-81=0 | | 16(2x-3)=4(8x+7) |

Equations solver categories