6x+8x*8x=16*7

Simple and best practice solution for 6x+8x*8x=16*7 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 6x+8x*8x=16*7 equation:


Simplifying
6x + 8x * 8x = 16 * 7

Reorder the terms for easier multiplication:
6x + 8 * 8x * x = 16 * 7

Multiply 8 * 8
6x + 64x * x = 16 * 7

Multiply x * x
6x + 64x2 = 16 * 7

Multiply 16 * 7
6x + 64x2 = 112

Solving
6x + 64x2 = 112

Solving for variable 'x'.

Reorder the terms:
-112 + 6x + 64x2 = 112 + -112

Combine like terms: 112 + -112 = 0
-112 + 6x + 64x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-56 + 3x + 32x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-56 + 3x + 32x2)' equal to zero and attempt to solve: Simplifying -56 + 3x + 32x2 = 0 Solving -56 + 3x + 32x2 = 0 Begin completing the square. Divide all terms by 32 the coefficient of the squared term: Divide each side by '32'. -1.75 + 0.09375x + x2 = 0 Move the constant term to the right: Add '1.75' to each side of the equation. -1.75 + 0.09375x + 1.75 + x2 = 0 + 1.75 Reorder the terms: -1.75 + 1.75 + 0.09375x + x2 = 0 + 1.75 Combine like terms: -1.75 + 1.75 = 0.00 0.00 + 0.09375x + x2 = 0 + 1.75 0.09375x + x2 = 0 + 1.75 Combine like terms: 0 + 1.75 = 1.75 0.09375x + x2 = 1.75 The x term is 0.09375x. Take half its coefficient (0.046875). Square it (0.002197265625) and add it to both sides. Add '0.002197265625' to each side of the equation. 0.09375x + 0.002197265625 + x2 = 1.75 + 0.002197265625 Reorder the terms: 0.002197265625 + 0.09375x + x2 = 1.75 + 0.002197265625 Combine like terms: 1.75 + 0.002197265625 = 1.752197265625 0.002197265625 + 0.09375x + x2 = 1.752197265625 Factor a perfect square on the left side: (x + 0.046875)(x + 0.046875) = 1.752197265625 Calculate the square root of the right side: 1.323705883 Break this problem into two subproblems by setting (x + 0.046875) equal to 1.323705883 and -1.323705883.

Subproblem 1

x + 0.046875 = 1.323705883 Simplifying x + 0.046875 = 1.323705883 Reorder the terms: 0.046875 + x = 1.323705883 Solving 0.046875 + x = 1.323705883 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.046875' to each side of the equation. 0.046875 + -0.046875 + x = 1.323705883 + -0.046875 Combine like terms: 0.046875 + -0.046875 = 0.000000 0.000000 + x = 1.323705883 + -0.046875 x = 1.323705883 + -0.046875 Combine like terms: 1.323705883 + -0.046875 = 1.276830883 x = 1.276830883 Simplifying x = 1.276830883

Subproblem 2

x + 0.046875 = -1.323705883 Simplifying x + 0.046875 = -1.323705883 Reorder the terms: 0.046875 + x = -1.323705883 Solving 0.046875 + x = -1.323705883 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.046875' to each side of the equation. 0.046875 + -0.046875 + x = -1.323705883 + -0.046875 Combine like terms: 0.046875 + -0.046875 = 0.000000 0.000000 + x = -1.323705883 + -0.046875 x = -1.323705883 + -0.046875 Combine like terms: -1.323705883 + -0.046875 = -1.370580883 x = -1.370580883 Simplifying x = -1.370580883

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.276830883, -1.370580883}

Solution

x = {1.276830883, -1.370580883}

See similar equations:

| 15+3(3u-1)=16-(2u-7) | | 2x^2-28x-2=-50 | | x^2-28x-2=-50 | | 18*8=2x-17+9*9 | | 9x^2-14=0 | | 10*8=2x-17+9*9 | | 5x^2-37x-72=0 | | x^2-nx-8=0 | | 4y+16x=12 | | 2x^3-10x^2-8x+40=0 | | 4x^2-4x=15 | | 2x^3+10x^2-8x+40=0 | | log[(p^2)-(q^2)]-log(p+q)=2 | | 5x^2-2x-24=0 | | 5d-9+2d+5=10 | | log((p^2)-(q^2))-log(p+q)=2 | | 4x^2y-6x^3y^2+8x^4y= | | log((p^2)-(q^2))=0 | | 7x^2-4x-11=0 | | 12x^3+12x^2+3x=0 | | (x+2)(x-2)=60 | | 5x-10y=-10 | | 9x+5=0 | | y+11=-5 | | 7*10-(10+2)= | | 11x(4x-3)-6(4x-3)= | | 5x(x+1)=(4x-1)(x+1) | | x+s+t=320 | | z^5-49z=0 | | -16k^2+8k+24= | | 20c^3-4c^2-16c=0 | | 3-17+6=8+x-3 |

Equations solver categories