-2x(x+4)+5=1

Simple and best practice solution for -2x(x+4)+5=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(x+4)+5=1 equation:


Simplifying
-2x(x + 4) + 5 = 1

Reorder the terms:
-2x(4 + x) + 5 = 1
(4 * -2x + x * -2x) + 5 = 1
(-8x + -2x2) + 5 = 1

Reorder the terms:
5 + -8x + -2x2 = 1

Solving
5 + -8x + -2x2 = 1

Solving for variable 'x'.

Reorder the terms:
5 + -1 + -8x + -2x2 = 1 + -1

Combine like terms: 5 + -1 = 4
4 + -8x + -2x2 = 1 + -1

Combine like terms: 1 + -1 = 0
4 + -8x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(2 + -4x + -1x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(2 + -4x + -1x2)' equal to zero and attempt to solve: Simplifying 2 + -4x + -1x2 = 0 Solving 2 + -4x + -1x2 = 0 Begin completing the square. Divide all terms by -1 the coefficient of the squared term: Divide each side by '-1'. -2 + 4x + x2 = 0 Move the constant term to the right: Add '2' to each side of the equation. -2 + 4x + 2 + x2 = 0 + 2 Reorder the terms: -2 + 2 + 4x + x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 4x + x2 = 0 + 2 4x + x2 = 0 + 2 Combine like terms: 0 + 2 = 2 4x + x2 = 2 The x term is 4x. Take half its coefficient (2). Square it (4) and add it to both sides. Add '4' to each side of the equation. 4x + 4 + x2 = 2 + 4 Reorder the terms: 4 + 4x + x2 = 2 + 4 Combine like terms: 2 + 4 = 6 4 + 4x + x2 = 6 Factor a perfect square on the left side: (x + 2)(x + 2) = 6 Calculate the square root of the right side: 2.449489743 Break this problem into two subproblems by setting (x + 2) equal to 2.449489743 and -2.449489743.

Subproblem 1

x + 2 = 2.449489743 Simplifying x + 2 = 2.449489743 Reorder the terms: 2 + x = 2.449489743 Solving 2 + x = 2.449489743 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 2.449489743 + -2 Combine like terms: 2 + -2 = 0 0 + x = 2.449489743 + -2 x = 2.449489743 + -2 Combine like terms: 2.449489743 + -2 = 0.449489743 x = 0.449489743 Simplifying x = 0.449489743

Subproblem 2

x + 2 = -2.449489743 Simplifying x + 2 = -2.449489743 Reorder the terms: 2 + x = -2.449489743 Solving 2 + x = -2.449489743 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = -2.449489743 + -2 Combine like terms: 2 + -2 = 0 0 + x = -2.449489743 + -2 x = -2.449489743 + -2 Combine like terms: -2.449489743 + -2 = -4.449489743 x = -4.449489743 Simplifying x = -4.449489743

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.449489743, -4.449489743}

Solution

x = {0.449489743, -4.449489743}

See similar equations:

| 3+7x-x=-21 | | 11x-193=5x-13 | | 16+7n=65 | | 3-4z=5+8z | | 4z-12=-5s+51 | | 5x+16=41 | | 3x^2-28=2x^2 | | 30/168=x/100 | | 4n=2 | | 6a-1=-a+20 | | 4r-6=62 | | 4(-5)+3y=12 | | 2c+3+5=13 | | t^3-1t=0 | | -3(4x+3)+4(x+1)=43 | | 5x-5=7x-19 | | 5x^2+11x-4=0 | | 8x^4-20x^3-12x^2=0 | | -2(4x+3)+6= | | x+15=-19 | | 24d^2+38d+15=0 | | 29x+17=23x+35 | | -10x+40=4x-2 | | (x+8)(x-2)=(2x+3)(x-2) | | -0.2x^2+1.6x=0 | | (3y+16)(7y+18)=0 | | -4(3m-3)=(11-m)2 | | 1.67s=5+1.50s-1.4 | | -2(3x+1)-2x=-4(2X+1) | | 2x+5=6x+25 | | (x+6)(x-1)=(2x+1)(x-1) | | 64x^9-27y^3=0 |

Equations solver categories