4x(x-6)+4=6x-2

Simple and best practice solution for 4x(x-6)+4=6x-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 4x(x-6)+4=6x-2 equation:


Simplifying
4x(x + -6) + 4 = 6x + -2

Reorder the terms:
4x(-6 + x) + 4 = 6x + -2
(-6 * 4x + x * 4x) + 4 = 6x + -2
(-24x + 4x2) + 4 = 6x + -2

Reorder the terms:
4 + -24x + 4x2 = 6x + -2

Reorder the terms:
4 + -24x + 4x2 = -2 + 6x

Solving
4 + -24x + 4x2 = -2 + 6x

Solving for variable 'x'.

Reorder the terms:
4 + 2 + -24x + -6x + 4x2 = -2 + 6x + 2 + -6x

Combine like terms: 4 + 2 = 6
6 + -24x + -6x + 4x2 = -2 + 6x + 2 + -6x

Combine like terms: -24x + -6x = -30x
6 + -30x + 4x2 = -2 + 6x + 2 + -6x

Reorder the terms:
6 + -30x + 4x2 = -2 + 2 + 6x + -6x

Combine like terms: -2 + 2 = 0
6 + -30x + 4x2 = 0 + 6x + -6x
6 + -30x + 4x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -30x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -15x + 2x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(3 + -15x + 2x2)' equal to zero and attempt to solve: Simplifying 3 + -15x + 2x2 = 0 Solving 3 + -15x + 2x2 = 0 Begin completing the square. Divide all terms by 2 the coefficient of the squared term: Divide each side by '2'. 1.5 + -7.5x + x2 = 0 Move the constant term to the right: Add '-1.5' to each side of the equation. 1.5 + -7.5x + -1.5 + x2 = 0 + -1.5 Reorder the terms: 1.5 + -1.5 + -7.5x + x2 = 0 + -1.5 Combine like terms: 1.5 + -1.5 = 0.0 0.0 + -7.5x + x2 = 0 + -1.5 -7.5x + x2 = 0 + -1.5 Combine like terms: 0 + -1.5 = -1.5 -7.5x + x2 = -1.5 The x term is -7.5x. Take half its coefficient (-3.75). Square it (14.0625) and add it to both sides. Add '14.0625' to each side of the equation. -7.5x + 14.0625 + x2 = -1.5 + 14.0625 Reorder the terms: 14.0625 + -7.5x + x2 = -1.5 + 14.0625 Combine like terms: -1.5 + 14.0625 = 12.5625 14.0625 + -7.5x + x2 = 12.5625 Factor a perfect square on the left side: (x + -3.75)(x + -3.75) = 12.5625 Calculate the square root of the right side: 3.54436172 Break this problem into two subproblems by setting (x + -3.75) equal to 3.54436172 and -3.54436172.

Subproblem 1

x + -3.75 = 3.54436172 Simplifying x + -3.75 = 3.54436172 Reorder the terms: -3.75 + x = 3.54436172 Solving -3.75 + x = 3.54436172 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.75' to each side of the equation. -3.75 + 3.75 + x = 3.54436172 + 3.75 Combine like terms: -3.75 + 3.75 = 0.00 0.00 + x = 3.54436172 + 3.75 x = 3.54436172 + 3.75 Combine like terms: 3.54436172 + 3.75 = 7.29436172 x = 7.29436172 Simplifying x = 7.29436172

Subproblem 2

x + -3.75 = -3.54436172 Simplifying x + -3.75 = -3.54436172 Reorder the terms: -3.75 + x = -3.54436172 Solving -3.75 + x = -3.54436172 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.75' to each side of the equation. -3.75 + 3.75 + x = -3.54436172 + 3.75 Combine like terms: -3.75 + 3.75 = 0.00 0.00 + x = -3.54436172 + 3.75 x = -3.54436172 + 3.75 Combine like terms: -3.54436172 + 3.75 = 0.20563828 x = 0.20563828 Simplifying x = 0.20563828

Solution

The solution to the problem is based on the solutions from the subproblems. x = {7.29436172, 0.20563828}

Solution

x = {7.29436172, 0.20563828}

See similar equations:

| g(t)=4t+1 | | x+3=3(x-4) | | 7d-4d+4d-3=6d | | z+3+4+2x-2+4=24 | | 7d+4d+4d-3=6d | | v+(-17)=59 | | 4(w+7)=2w+30 | | -2(b+5)=-7 | | 2x+10+70=180 | | 42-(x-12)=4 | | 1800=.35X | | 4x^2=6x-30 | | 4x+5.6x=16 | | 2(8j+3)=5(3j-1) | | p(x)=3x^3+x^2-14x | | 2x+2+15+x+5+13=56 | | 6m-6+3m=30 | | k-64=-8 | | 2(x+4)=8-6(x-4) | | 3-2(2x-4)=5x+3(2x+1) | | 9w+17=-7 | | 6+3(m+2)=4 | | (3y+4)(y+8)=20 | | w+2-3=5-8 | | -8+10=102 | | 5x-8(1+7x)=-8 | | X+(2x+49)=116 | | 6t=10+14x | | 6x^2-100x+400=0 | | (2+x)(4u-3)=0 | | (3y+4)(y+3)=20 | | 244=17-x |

Equations solver categories