4x(x+2)-2(x-4)=32

Simple and best practice solution for 4x(x+2)-2(x-4)=32 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(x+2)-2(x-4)=32 equation:


Simplifying
4x(x + 2) + -2(x + -4) = 32

Reorder the terms:
4x(2 + x) + -2(x + -4) = 32
(2 * 4x + x * 4x) + -2(x + -4) = 32
(8x + 4x2) + -2(x + -4) = 32

Reorder the terms:
8x + 4x2 + -2(-4 + x) = 32
8x + 4x2 + (-4 * -2 + x * -2) = 32
8x + 4x2 + (8 + -2x) = 32

Reorder the terms:
8 + 8x + -2x + 4x2 = 32

Combine like terms: 8x + -2x = 6x
8 + 6x + 4x2 = 32

Solving
8 + 6x + 4x2 = 32

Solving for variable 'x'.

Reorder the terms:
8 + -32 + 6x + 4x2 = 32 + -32

Combine like terms: 8 + -32 = -24
-24 + 6x + 4x2 = 32 + -32

Combine like terms: 32 + -32 = 0
-24 + 6x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + 3x + 2x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-12 + 3x + 2x2)' equal to zero and attempt to solve: Simplifying -12 + 3x + 2x2 = 0 Solving -12 + 3x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. -6 + 1.5x + x2 = 0 Move the constant term to the right: Add '6' to each side of the equation. -6 + 1.5x + 6 + x2 = 0 + 6 Reorder the terms: -6 + 6 + 1.5x + x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 1.5x + x2 = 0 + 6 1.5x + x2 = 0 + 6 Combine like terms: 0 + 6 = 6 1.5x + x2 = 6 The x term is 1.5x. Take half its coefficient (0.75). Square it (0.5625) and add it to both sides. Add '0.5625' to each side of the equation. 1.5x + 0.5625 + x2 = 6 + 0.5625 Reorder the terms: 0.5625 + 1.5x + x2 = 6 + 0.5625 Combine like terms: 6 + 0.5625 = 6.5625 0.5625 + 1.5x + x2 = 6.5625 Factor a perfect square on the left side: (x + 0.75)(x + 0.75) = 6.5625 Calculate the square root of the right side: 2.561737691 Break this problem into two subproblems by setting (x + 0.75) equal to 2.561737691 and -2.561737691.

Subproblem 1

x + 0.75 = 2.561737691 Simplifying x + 0.75 = 2.561737691 Reorder the terms: 0.75 + x = 2.561737691 Solving 0.75 + x = 2.561737691 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = 2.561737691 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = 2.561737691 + -0.75 x = 2.561737691 + -0.75 Combine like terms: 2.561737691 + -0.75 = 1.811737691 x = 1.811737691 Simplifying x = 1.811737691

Subproblem 2

x + 0.75 = -2.561737691 Simplifying x + 0.75 = -2.561737691 Reorder the terms: 0.75 + x = -2.561737691 Solving 0.75 + x = -2.561737691 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -0.75 + x = -2.561737691 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + x = -2.561737691 + -0.75 x = -2.561737691 + -0.75 Combine like terms: -2.561737691 + -0.75 = -3.311737691 x = -3.311737691 Simplifying x = -3.311737691

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.811737691, -3.311737691}

Solution

x = {1.811737691, -3.311737691}

See similar equations:

| 5576+1394= | | T^2+3t-48=0 | | 2x+5=5x+-1 | | 2x^2-2=5-1 | | 2(6x-4)=44 | | 10+6*n=n-5 | | 7v^2+54v-16=0 | | F(x)=5-3 | | x^2-kx+k-2=0 | | -3/5y-1/6y=690 | | 2x-lx+3l=9 | | -28=-4-3x-3x | | -1(x+3)=-10 | | -1/3×-12 | | -3/5y-1/6y | | tan(3x+4)=cot(5x-10) | | (0.4-2x)^2/x*x=49.5 | | 28=-x+4-5x | | 8x(6x-5)=1 | | x*x*x*x=84 | | x=-x^2+4x-1 | | (D^2+1)y=sinx | | -6(2n-2)+12=4(2n-9) | | 30/(14-4)*3^2-12 | | 24=18x+12 | | 9sin^2x+6cosx-8=0 | | (D^2+D+1)y=sinx | | 25x-9=11 | | X^2+x=14+42 | | 5(x-3)+6=5x-11 | | 3/4((x-16)=2(x-3)=4 | | x=-x^3+4x-1 |

Equations solver categories