140-96x+12x^2=0

Simple and best practice solution for 140-96x+12x^2=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 140-96x+12x^2=0 equation:


Simplifying
140 + -96x + 12x2 = 0

Solving
140 + -96x + 12x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(35 + -24x + 3x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(35 + -24x + 3x2)' equal to zero and attempt to solve: Simplifying 35 + -24x + 3x2 = 0 Solving 35 + -24x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. 11.66666667 + -8x + x2 = 0 Move the constant term to the right: Add '-11.66666667' to each side of the equation. 11.66666667 + -8x + -11.66666667 + x2 = 0 + -11.66666667 Reorder the terms: 11.66666667 + -11.66666667 + -8x + x2 = 0 + -11.66666667 Combine like terms: 11.66666667 + -11.66666667 = 0.00000000 0.00000000 + -8x + x2 = 0 + -11.66666667 -8x + x2 = 0 + -11.66666667 Combine like terms: 0 + -11.66666667 = -11.66666667 -8x + x2 = -11.66666667 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 = -11.66666667 + 16 Reorder the terms: 16 + -8x + x2 = -11.66666667 + 16 Combine like terms: -11.66666667 + 16 = 4.33333333 16 + -8x + x2 = 4.33333333 Factor a perfect square on the left side: (x + -4)(x + -4) = 4.33333333 Calculate the square root of the right side: 2.081665999 Break this problem into two subproblems by setting (x + -4) equal to 2.081665999 and -2.081665999.

Subproblem 1

x + -4 = 2.081665999 Simplifying x + -4 = 2.081665999 Reorder the terms: -4 + x = 2.081665999 Solving -4 + x = 2.081665999 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 = 2.081665999 + 4 Combine like terms: -4 + 4 = 0 0 + x = 2.081665999 + 4 x = 2.081665999 + 4 Combine like terms: 2.081665999 + 4 = 6.081665999 x = 6.081665999 Simplifying x = 6.081665999

Subproblem 2

x + -4 = -2.081665999 Simplifying x + -4 = -2.081665999 Reorder the terms: -4 + x = -2.081665999 Solving -4 + x = -2.081665999 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 = -2.081665999 + 4 Combine like terms: -4 + 4 = 0 0 + x = -2.081665999 + 4 x = -2.081665999 + 4 Combine like terms: -2.081665999 + 4 = 1.918334001 x = 1.918334001 Simplifying x = 1.918334001

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.081665999, 1.918334001}

Solution

x = {6.081665999, 1.918334001}

See similar equations:

| x(16-x)-63=0 | | 12c+c^2=0 | | 8p^2-2p-21=0 | | 3x+4y-12x+7y= | | 2k^2-13k+18=0 | | 0.75x-9=2.85 | | 10(t-4)+4t=7(2t+2)-9 | | 4a2b/6ab | | 24x2/12x | | -72=7h-5(3h-8) | | 1/2x-1/6x=1/3 | | 7(d-12)=5(d+2) | | -(0.1x+0.4)-1.3=-0.5 | | 3x2-12/3 | | 7.68=0.25x+5.93 | | 2(x-7)=-3(2x+1)-3 | | 3s^2+16s+15=0 | | 3+19y-2=9y+86-7y | | 3(2x+1)+5x-2=9 | | 7r-14/7 | | -0.5x=1.25 | | 9y^6-27y^4+18y^2+6=0 | | X^2-45x+328=0 | | 0.8(x+40)+0.4x=68 | | 12(x+7)=3(x-11) | | 5x+26=x^2+2x+8 | | 8x^5+16x^4-20x^3+12=0 | | 3p-4=-3p+14 | | 2p+2=-p+8 | | b+1=5b+5 | | -9.18=-10.9p+3.9 | | -7x-3(9-7x)ifx=-1 |

Equations solver categories