12x+2x^2=90

Simple and best practice solution for 12x+2x^2=90 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 12x+2x^2=90 equation:


Simplifying
12x + 2x2 = 90

Solving
12x + 2x2 = 90

Solving for variable 'x'.

Reorder the terms:
-90 + 12x + 2x2 = 90 + -90

Combine like terms: 90 + -90 = 0
-90 + 12x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-45 + 6x + x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-45 + 6x + x2)' equal to zero and attempt to solve: Simplifying -45 + 6x + x2 = 0 Solving -45 + 6x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '45' to each side of the equation. -45 + 6x + 45 + x2 = 0 + 45 Reorder the terms: -45 + 45 + 6x + x2 = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 6x + x2 = 0 + 45 6x + x2 = 0 + 45 Combine like terms: 0 + 45 = 45 6x + x2 = 45 The x term is 6x. Take half its coefficient (3). Square it (9) and add it to both sides. Add '9' to each side of the equation. 6x + 9 + x2 = 45 + 9 Reorder the terms: 9 + 6x + x2 = 45 + 9 Combine like terms: 45 + 9 = 54 9 + 6x + x2 = 54 Factor a perfect square on the left side: (x + 3)(x + 3) = 54 Calculate the square root of the right side: 7.348469228 Break this problem into two subproblems by setting (x + 3) equal to 7.348469228 and -7.348469228.

Subproblem 1

x + 3 = 7.348469228 Simplifying x + 3 = 7.348469228 Reorder the terms: 3 + x = 7.348469228 Solving 3 + x = 7.348469228 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 7.348469228 + -3 Combine like terms: 3 + -3 = 0 0 + x = 7.348469228 + -3 x = 7.348469228 + -3 Combine like terms: 7.348469228 + -3 = 4.348469228 x = 4.348469228 Simplifying x = 4.348469228

Subproblem 2

x + 3 = -7.348469228 Simplifying x + 3 = -7.348469228 Reorder the terms: 3 + x = -7.348469228 Solving 3 + x = -7.348469228 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = -7.348469228 + -3 Combine like terms: 3 + -3 = 0 0 + x = -7.348469228 + -3 x = -7.348469228 + -3 Combine like terms: -7.348469228 + -3 = -10.348469228 x = -10.348469228 Simplifying x = -10.348469228

Solution

The solution to the problem is based on the solutions from the subproblems. x = {4.348469228, -10.348469228}

Solution

x = {4.348469228, -10.348469228}

See similar equations:

| 6x+17+1x=-74 | | 6(7x+3)=-402 | | a=1/210(20,60) | | a=1/210(201,602) | | 2+5f=37 | | -7(8+3x)=-308 | | (X+6)2X=90 | | 63/6x37 | | 6(6+7x)=78 | | 39=3-6q | | 6=j/2 | | y=0.5x^2+8x-20 | | 3(4+x)=8 | | 50x^2-8y^2=200 | | 2x^2/3=10 | | 26=6b+2 | | -6=.75x | | CosA=.85 | | -25=2.3x-11 | | f(x)=2x^3-x^2-5x-2 | | 12x+7=14x-1 | | (x-144)=36 | | x^2/3=256 | | -46=4+5c | | -.5x+7=1 | | 8x-2y+3x=5+12x-4y | | 2•5/2 | | 2/5x-16=3/5-14 | | (X+6)2X+90=180 | | g(-6)=n^2-6n | | 4y-16=44 | | 4x^2(5x^4+3)=0 |

Equations solver categories