94=2x(3x+2)

Simple and best practice solution for 94=2x(3x+2) 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 94=2x(3x+2) equation:


Simplifying
94 = 2x(3x + 2)

Reorder the terms:
94 = 2x(2 + 3x)
94 = (2 * 2x + 3x * 2x)
94 = (4x + 6x2)

Solving
94 = 4x + 6x2

Solving for variable 'x'.

Reorder the terms:
94 + -4x + -6x2 = 4x + -4x + 6x2 + -6x2

Combine like terms: 4x + -4x = 0
94 + -4x + -6x2 = 0 + 6x2 + -6x2
94 + -4x + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
94 + -4x + -6x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(47 + -2x + -3x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(47 + -2x + -3x2)' equal to zero and attempt to solve: Simplifying 47 + -2x + -3x2 = 0 Solving 47 + -2x + -3x2 = 0 Begin completing the square. Divide all terms by -3 the coefficient of the squared term: Divide each side by '-3'. -15.66666667 + 0.6666666667x + x2 = 0 Move the constant term to the right: Add '15.66666667' to each side of the equation. -15.66666667 + 0.6666666667x + 15.66666667 + x2 = 0 + 15.66666667 Reorder the terms: -15.66666667 + 15.66666667 + 0.6666666667x + x2 = 0 + 15.66666667 Combine like terms: -15.66666667 + 15.66666667 = 0.00000000 0.00000000 + 0.6666666667x + x2 = 0 + 15.66666667 0.6666666667x + x2 = 0 + 15.66666667 Combine like terms: 0 + 15.66666667 = 15.66666667 0.6666666667x + x2 = 15.66666667 The x term is 0.6666666667x. Take half its coefficient (0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. 0.6666666667x + 0.1111111112 + x2 = 15.66666667 + 0.1111111112 Reorder the terms: 0.1111111112 + 0.6666666667x + x2 = 15.66666667 + 0.1111111112 Combine like terms: 15.66666667 + 0.1111111112 = 15.7777777812 0.1111111112 + 0.6666666667x + x2 = 15.7777777812 Factor a perfect square on the left side: (x + 0.3333333334)(x + 0.3333333334) = 15.7777777812 Calculate the square root of the right side: 3.972125096 Break this problem into two subproblems by setting (x + 0.3333333334) equal to 3.972125096 and -3.972125096.

Subproblem 1

x + 0.3333333334 = 3.972125096 Simplifying x + 0.3333333334 = 3.972125096 Reorder the terms: 0.3333333334 + x = 3.972125096 Solving 0.3333333334 + x = 3.972125096 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3333333334' to each side of the equation. 0.3333333334 + -0.3333333334 + x = 3.972125096 + -0.3333333334 Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000 0.0000000000 + x = 3.972125096 + -0.3333333334 x = 3.972125096 + -0.3333333334 Combine like terms: 3.972125096 + -0.3333333334 = 3.6387917626 x = 3.6387917626 Simplifying x = 3.6387917626

Subproblem 2

x + 0.3333333334 = -3.972125096 Simplifying x + 0.3333333334 = -3.972125096 Reorder the terms: 0.3333333334 + x = -3.972125096 Solving 0.3333333334 + x = -3.972125096 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.3333333334' to each side of the equation. 0.3333333334 + -0.3333333334 + x = -3.972125096 + -0.3333333334 Combine like terms: 0.3333333334 + -0.3333333334 = 0.0000000000 0.0000000000 + x = -3.972125096 + -0.3333333334 x = -3.972125096 + -0.3333333334 Combine like terms: -3.972125096 + -0.3333333334 = -4.3054584294 x = -4.3054584294 Simplifying x = -4.3054584294

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.6387917626, -4.3054584294}

Solution

x = {3.6387917626, -4.3054584294}

See similar equations:

| 94=2x(3z+2) | | 44(x+y)=390 | | (5a)=x^2+3(5a)-4 | | 3(x+y-5)=3(4-y) | | v^2-(4*v)=12 | | -2y=-6x+16 | | v+px=nx | | 13.1-0.7=8.2 | | (7)v-1=0 | | 4s-6=2(s-4)-5(s+3) | | 1L=XML | | -71=x64 | | 13x-2x=8+(-x+7) | | Y=-7/2x-1 | | 2=-3+2y | | y=f(x)=x^1/5 | | t-10=-25 | | 4072-01-02-05-00_files/i0110000.jpg | | x*10+2=x*5+3 | | 2x+y=2x-y | | 21e+35= | | 0=-3x^2+55x+2 | | (h-3/5)²=1/2 | | 90=6a+3s | | 0=-5x^2+8x-3 | | 3+14x=-9 | | 6+9x=5x | | -3=7(y-9/7) | | 0=-x^2-5x-6 | | sin(5x)/2x | | 58x+93y=1 | | 38+38+x=180 |

Equations solver categories