4x^2-32x-40=0

Simple and best practice solution for 4x^2-32x-40=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 4x^2-32x-40=0 equation:


Simplifying
4x2 + -32x + -40 = 0

Reorder the terms:
-40 + -32x + 4x2 = 0

Solving
-40 + -32x + 4x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(-10 + -8x + x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-10 + -8x + x2)' equal to zero and attempt to solve: Simplifying -10 + -8x + x2 = 0 Solving -10 + -8x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '10' to each side of the equation. -10 + -8x + 10 + x2 = 0 + 10 Reorder the terms: -10 + 10 + -8x + x2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -8x + x2 = 0 + 10 -8x + x2 = 0 + 10 Combine like terms: 0 + 10 = 10 -8x + x2 = 10 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 = 10 + 16 Reorder the terms: 16 + -8x + x2 = 10 + 16 Combine like terms: 10 + 16 = 26 16 + -8x + x2 = 26 Factor a perfect square on the left side: (x + -4)(x + -4) = 26 Calculate the square root of the right side: 5.099019514 Break this problem into two subproblems by setting (x + -4) equal to 5.099019514 and -5.099019514.

Subproblem 1

x + -4 = 5.099019514 Simplifying x + -4 = 5.099019514 Reorder the terms: -4 + x = 5.099019514 Solving -4 + x = 5.099019514 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 = 5.099019514 + 4 Combine like terms: -4 + 4 = 0 0 + x = 5.099019514 + 4 x = 5.099019514 + 4 Combine like terms: 5.099019514 + 4 = 9.099019514 x = 9.099019514 Simplifying x = 9.099019514

Subproblem 2

x + -4 = -5.099019514 Simplifying x + -4 = -5.099019514 Reorder the terms: -4 + x = -5.099019514 Solving -4 + x = -5.099019514 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 = -5.099019514 + 4 Combine like terms: -4 + 4 = 0 0 + x = -5.099019514 + 4 x = -5.099019514 + 4 Combine like terms: -5.099019514 + 4 = -1.099019514 x = -1.099019514 Simplifying x = -1.099019514

Solution

The solution to the problem is based on the solutions from the subproblems. x = {9.099019514, -1.099019514}

Solution

x = {9.099019514, -1.099019514}

See similar equations:

| 3x+21=67 | | 2n^2-2n-240=0 | | -6+4(-2x+3)=16-8x | | 8-2b+4=22 | | 8/9*-8/9 | | -1/2(x+1)^2+1 | | 10+(5x-6)-4x=2-(3x-1) | | -7v+5v=-10 | | 7(y+2)=-6(2y-4)+5y | | 83(2x)+5(x)=1160 | | an=2an-1 | | 6/y=7/11 | | 12,15= | | 84(2x)+5(x)=1160 | | 7+4(3U-1)=-2(7U-9)+8U | | -15j=176 | | 2=3x+5 | | -1=3x+5 | | 4s^2+3s-27=0 | | (6x-9)=(3x+3) | | 9y^2+24xy+16x^2=0 | | 25x^2-34x+16=0 | | 7(8-(-5x-7))=210+350 | | -5(4t-3)+4t=8t-4 | | 2x^2+5=x^2+9 | | 7[8-(-5x-7)]=210+350 | | X^2+2x-7=2x+9 | | 4x^2-100=44 | | 2x^2-5x-35=0 | | 9x+8=4x+2 | | -40-10=10x+20 | | -19-6x=8-10x |

Equations solver categories