2x^2+2x=38

Simple and best practice solution for 2x^2+2x=38 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+2x=38 equation:


Simplifying
2x2 + 2x = 38

Reorder the terms:
2x + 2x2 = 38

Solving
2x + 2x2 = 38

Solving for variable 'x'.

Reorder the terms:
-38 + 2x + 2x2 = 38 + -38

Combine like terms: 38 + -38 = 0
-38 + 2x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-19 + x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-19 + x + x2)' equal to zero and attempt to solve: Simplifying -19 + x + x2 = 0 Solving -19 + x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '19' to each side of the equation. -19 + x + 19 + x2 = 0 + 19 Reorder the terms: -19 + 19 + x + x2 = 0 + 19 Combine like terms: -19 + 19 = 0 0 + x + x2 = 0 + 19 x + x2 = 0 + 19 Combine like terms: 0 + 19 = 19 x + x2 = 19 The x term is x. 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. x + 0.25 + x2 = 19 + 0.25 Reorder the terms: 0.25 + x + x2 = 19 + 0.25 Combine like terms: 19 + 0.25 = 19.25 0.25 + x + x2 = 19.25 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 19.25 Calculate the square root of the right side: 4.387482194 Break this problem into two subproblems by setting (x + 0.5) equal to 4.387482194 and -4.387482194.

Subproblem 1

x + 0.5 = 4.387482194 Simplifying x + 0.5 = 4.387482194 Reorder the terms: 0.5 + x = 4.387482194 Solving 0.5 + x = 4.387482194 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 = 4.387482194 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 4.387482194 + -0.5 x = 4.387482194 + -0.5 Combine like terms: 4.387482194 + -0.5 = 3.887482194 x = 3.887482194 Simplifying x = 3.887482194

Subproblem 2

x + 0.5 = -4.387482194 Simplifying x + 0.5 = -4.387482194 Reorder the terms: 0.5 + x = -4.387482194 Solving 0.5 + x = -4.387482194 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 = -4.387482194 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -4.387482194 + -0.5 x = -4.387482194 + -0.5 Combine like terms: -4.387482194 + -0.5 = -4.887482194 x = -4.887482194 Simplifying x = -4.887482194

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.887482194, -4.887482194}

Solution

x = {3.887482194, -4.887482194}

See similar equations:

| 3x^2+7xy+ky^2-4=0 | | 7x(x-1)+14=11 | | 3p+qd=26 | | -7y+39=3(y+3) | | 5x^2=4x-20x^2 | | (3x+2y^3)(7x^7+9y^2)= | | 4(y-1)=6y+4 | | 3x^2+7xy+ky^2-4x-13y=0 | | 7x^5(6x+8)= | | (-2x+7)(8x+5)= | | (x+7)(x+3)-(-9x-3)(x+2)= | | 7p^2-20p+12= | | 2X^2-49X=360 | | 2x^3y^4/3xy)3 | | 2V+28=-6(v+6) | | 2X^2-49X=0 | | (8x+4)(-6x+5)= | | x-x^(1/3)=0 | | x-x^(1/3) | | -4.9t^2+14t+300=0 | | -7(w+1)=9w-23 | | 2v-44=-6(v-6) | | (3x^4+8y^3)(4x^2+2y^5)= | | 5(x+7)2=0 | | 7(y-4)=5y-30 | | x=-6(-0)+7 | | -4x+3=-5y-7 | | 12x-0.7=5x+3.2 | | 6-18=z/-7 | | 6k+1=43 | | 200=142-y | | 284-y=14 |

Equations solver categories