4x(5+6x)=440

Simple and best practice solution for 4x(5+6x)=440 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(5+6x)=440 equation:


Simplifying
4x(5 + 6x) = 440
(5 * 4x + 6x * 4x) = 440
(20x + 24x2) = 440

Solving
20x + 24x2 = 440

Solving for variable 'x'.

Reorder the terms:
-440 + 20x + 24x2 = 440 + -440

Combine like terms: 440 + -440 = 0
-440 + 20x + 24x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-110 + 5x + 6x2) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-110 + 5x + 6x2)' equal to zero and attempt to solve: Simplifying -110 + 5x + 6x2 = 0 Solving -110 + 5x + 6x2 = 0 Begin completing the square. Divide all terms by 6 the coefficient of the squared term: Divide each side by '6'. -18.33333333 + 0.8333333333x + x2 = 0 Move the constant term to the right: Add '18.33333333' to each side of the equation. -18.33333333 + 0.8333333333x + 18.33333333 + x2 = 0 + 18.33333333 Reorder the terms: -18.33333333 + 18.33333333 + 0.8333333333x + x2 = 0 + 18.33333333 Combine like terms: -18.33333333 + 18.33333333 = 0.00000000 0.00000000 + 0.8333333333x + x2 = 0 + 18.33333333 0.8333333333x + x2 = 0 + 18.33333333 Combine like terms: 0 + 18.33333333 = 18.33333333 0.8333333333x + x2 = 18.33333333 The x term is 0.8333333333x. Take half its coefficient (0.4166666667). Square it (0.1736111111) and add it to both sides. Add '0.1736111111' to each side of the equation. 0.8333333333x + 0.1736111111 + x2 = 18.33333333 + 0.1736111111 Reorder the terms: 0.1736111111 + 0.8333333333x + x2 = 18.33333333 + 0.1736111111 Combine like terms: 18.33333333 + 0.1736111111 = 18.5069444411 0.1736111111 + 0.8333333333x + x2 = 18.5069444411 Factor a perfect square on the left side: (x + 0.4166666667)(x + 0.4166666667) = 18.5069444411 Calculate the square root of the right side: 4.301969833 Break this problem into two subproblems by setting (x + 0.4166666667) equal to 4.301969833 and -4.301969833.

Subproblem 1

x + 0.4166666667 = 4.301969833 Simplifying x + 0.4166666667 = 4.301969833 Reorder the terms: 0.4166666667 + x = 4.301969833 Solving 0.4166666667 + x = 4.301969833 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4166666667' to each side of the equation. 0.4166666667 + -0.4166666667 + x = 4.301969833 + -0.4166666667 Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000 0.0000000000 + x = 4.301969833 + -0.4166666667 x = 4.301969833 + -0.4166666667 Combine like terms: 4.301969833 + -0.4166666667 = 3.8853031663 x = 3.8853031663 Simplifying x = 3.8853031663

Subproblem 2

x + 0.4166666667 = -4.301969833 Simplifying x + 0.4166666667 = -4.301969833 Reorder the terms: 0.4166666667 + x = -4.301969833 Solving 0.4166666667 + x = -4.301969833 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4166666667' to each side of the equation. 0.4166666667 + -0.4166666667 + x = -4.301969833 + -0.4166666667 Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000 0.0000000000 + x = -4.301969833 + -0.4166666667 x = -4.301969833 + -0.4166666667 Combine like terms: -4.301969833 + -0.4166666667 = -4.7186364997 x = -4.7186364997 Simplifying x = -4.7186364997

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.8853031663, -4.7186364997}

Solution

x = {3.8853031663, -4.7186364997}

See similar equations:

| 6(x-1)+2=3x+3(-1+x) | | 4y-2y=11 | | 7/5=d/10-3d/3 | | 7x+2x=8x+8 | | 6y+2(2y)+4=18 | | 3(x-4)+2=20 | | -6=2n+1 | | -14+50=-3(x+3) | | -(5x+4)-(-4x-7)=1 | | r-8.1=-7.2 | | -4x+1=-3(2x+5) | | x/3-1/5=7/15 | | 4x-3=x+2 | | 2x-5+2=45 | | 3a+3a+3a+6a= | | (3y)=(y+140) | | (4x+2)+(-6x+4)=20 | | 3x+16=2x-1 | | 3n+4n+7= | | (5x-100)=(x-20) | | 4(x+3)+20= | | z-4/4+8 | | (x+8)(3x+4)=(x+14)(2x+3) | | z-4/8+8 | | (2/7+4/3)/5/7 | | -90z-0.4=-100z+1.7 | | z-11z= | | z-4/8*w | | 0.6(x-8)=4.2 | | -3(3x-9)+1=-9x+28 | | X^2-2x=32 | | (24+11)*w= |

Equations solver categories