4x(3x+2)=5x-3

Simple and best practice solution for 4x(3x+2)=5x-3 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(3x+2)=5x-3 equation:


Simplifying
4x(3x + 2) = 5x + -3

Reorder the terms:
4x(2 + 3x) = 5x + -3
(2 * 4x + 3x * 4x) = 5x + -3
(8x + 12x2) = 5x + -3

Reorder the terms:
8x + 12x2 = -3 + 5x

Solving
8x + 12x2 = -3 + 5x

Solving for variable 'x'.

Reorder the terms:
3 + 8x + -5x + 12x2 = -3 + 5x + 3 + -5x

Combine like terms: 8x + -5x = 3x
3 + 3x + 12x2 = -3 + 5x + 3 + -5x

Reorder the terms:
3 + 3x + 12x2 = -3 + 3 + 5x + -5x

Combine like terms: -3 + 3 = 0
3 + 3x + 12x2 = 0 + 5x + -5x
3 + 3x + 12x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
3 + 3x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(1 + x + 4x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(1 + x + 4x2)' equal to zero and attempt to solve: Simplifying 1 + x + 4x2 = 0 Solving 1 + x + 4x2 = 0 Begin completing the square. Divide all terms by 4 the coefficient of the squared term: Divide each side by '4'. 0.25 + 0.25x + x2 = 0 Move the constant term to the right: Add '-0.25' to each side of the equation. 0.25 + 0.25x + -0.25 + x2 = 0 + -0.25 Reorder the terms: 0.25 + -0.25 + 0.25x + x2 = 0 + -0.25 Combine like terms: 0.25 + -0.25 = 0.00 0.00 + 0.25x + x2 = 0 + -0.25 0.25x + x2 = 0 + -0.25 Combine like terms: 0 + -0.25 = -0.25 0.25x + x2 = -0.25 The x term is x. Take half its coefficient (0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. 0.25x + 0.25 + x2 = -0.25 + 0.25 Reorder the terms: 0.25 + 0.25x + x2 = -0.25 + 0.25 Combine like terms: -0.25 + 0.25 = 0.00 0.25 + 0.25x + x2 = 0.00 Factor a perfect square on the left side: (x + 0.5)(x + 0.5) = 0.00 Calculate the square root of the right side: 0.00 Break this problem into two subproblems by setting (x + 0.5) equal to 0.00 and 0.00.

Subproblem 1

x + 0.5 = 0.00 Simplifying x + 0.5 = 0.00 Reorder the terms: 0.5 + x = 0.00 Solving 0.5 + x = 0.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 0.00 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 0.00 + -0.5 x = 0.00 + -0.5 Combine like terms: 0.00 + -0.5 = -0.5 x = -0.5 Simplifying x = -0.5

Subproblem 2

x + 0.5 = 0.00 Simplifying x + 0.5 = 0.00 Reorder the terms: 0.5 + x = 0.00 Solving 0.5 + x = 0.00 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 0.00 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 0.00 + -0.5 x = 0.00 + -0.5 Combine like terms: 0.00 + -0.5 = -0.5 x = -0.5 Simplifying x = -0.5

Solution

The solution to the problem is based on the solutions from the subproblems. x = {-0.5, -0.5}

Solution

x = {-0.5, -0.5}

See similar equations:

| 0.06x+0.45(110)=.30(137) | | 32=-2(24-b)+4(b-4) | | x^8/x^3 | | 8+4x-7= | | 3/4x-16=7 | | 4x^2-16x+20=12 | | x^2+1=4X+3 | | x-4x+12=0 | | 18x-16=15x+4 | | -0.5p=5(10-0.5p) | | 1+4x=46 | | (-1/5)(10x)-(-1/5)(5y) | | y^2+9x^2-2y+36x+1=0 | | 5y+8=3x | | 0.7(3x+6)=1-(x-3) | | X+9=1x-5 | | x+(-3x)=28 | | 7/9(9/7x) | | (3x-4)(3x-4)=12 | | Y=4x^2-42x+54 | | 12squareft51/4ft | | W-8/w-8w-15/11w | | 8ab^3/ab | | x^2+2(m+2)x+m^2=0 | | 10x+25y=425 | | (2z-8)-(z+5)=0 | | 3x-8=14+x | | -7/17x=-4 | | 2.5(X+4)=30 | | 25x+10y=425 | | -9(w+1)-(-4w-8)=-6w | | X-185=5 |

Equations solver categories