(4x-5)(3x-1)-(2x-7)(6x+7)+54=0

Simple and best practice solution for (4x-5)(3x-1)-(2x-7)(6x+7)+54=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 (4x-5)(3x-1)-(2x-7)(6x+7)+54=0 equation: 


Simplifying
(4x + -5)(3x + -1) + -1(2x + -7)(6x + 7) + 54 = 0

Reorder the terms:
(-5 + 4x)(3x + -1) + -1(2x + -7)(6x + 7) + 54 = 0

Reorder the terms:
(-5 + 4x)(-1 + 3x) + -1(2x + -7)(6x + 7) + 54 = 0

Multiply (-5 + 4x) * (-1 + 3x)
(-5(-1 + 3x) + 4x * (-1 + 3x)) + -1(2x + -7)(6x + 7) + 54 = 0
((-1 * -5 + 3x * -5) + 4x * (-1 + 3x)) + -1(2x + -7)(6x + 7) + 54 = 0
((5 + -15x) + 4x * (-1 + 3x)) + -1(2x + -7)(6x + 7) + 54 = 0
(5 + -15x + (-1 * 4x + 3x * 4x)) + -1(2x + -7)(6x + 7) + 54 = 0
(5 + -15x + (-4x + 12x2)) + -1(2x + -7)(6x + 7) + 54 = 0

Combine like terms: -15x + -4x = -19x
(5 + -19x + 12x2) + -1(2x + -7)(6x + 7) + 54 = 0

Reorder the terms:
5 + -19x + 12x2 + -1(-7 + 2x)(6x + 7) + 54 = 0

Reorder the terms:
5 + -19x + 12x2 + -1(-7 + 2x)(7 + 6x) + 54 = 0

Multiply (-7 + 2x) * (7 + 6x)
5 + -19x + 12x2 + -1(-7(7 + 6x) + 2x * (7 + 6x)) + 54 = 0
5 + -19x + 12x2 + -1((7 * -7 + 6x * -7) + 2x * (7 + 6x)) + 54 = 0
5 + -19x + 12x2 + -1((-49 + -42x) + 2x * (7 + 6x)) + 54 = 0
5 + -19x + 12x2 + -1(-49 + -42x + (7 * 2x + 6x * 2x)) + 54 = 0
5 + -19x + 12x2 + -1(-49 + -42x + (14x + 12x2)) + 54 = 0

Combine like terms: -42x + 14x = -28x
5 + -19x + 12x2 + -1(-49 + -28x + 12x2) + 54 = 0
5 + -19x + 12x2 + (-49 * -1 + -28x * -1 + 12x2 * -1) + 54 = 0
5 + -19x + 12x2 + (49 + 28x + -12x2) + 54 = 0

Reorder the terms:
5 + 49 + 54 + -19x + 28x + 12x2 + -12x2 = 0

Combine like terms: 5 + 49 = 54
54 + 54 + -19x + 28x + 12x2 + -12x2 = 0

Combine like terms: 54 + 54 = 108
108 + -19x + 28x + 12x2 + -12x2 = 0

Combine like terms: -19x + 28x = 9x
108 + 9x + 12x2 + -12x2 = 0

Combine like terms: 12x2 + -12x2 = 0
108 + 9x + 0 = 0
108 + 9x = 0

Solving
108 + 9x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-108' to each side of the equation.
108 + -108 + 9x = 0 + -108

Combine like terms: 108 + -108 = 0
0 + 9x = 0 + -108
9x = 0 + -108

Combine like terms: 0 + -108 = -108
9x = -108

Divide each side by '9'.
x = -12

Simplifying
x = -12

See similar equations:

| (4x-5)(3x-1)-(2x-7)(6x+5)-1=0 | | 6(4a+3)-13a=5(3a-1)-1 | | x^2+4x-206=0 | | t-2(3t-1)+8=10 | | 16x^3-4x=0 | | (3x^3)-3x=0 | | s-6=48 | | 2x^2-71x+108=0 | | 15h+4-8h+7=32 | | 2(3x-4)=18 | | 103-2x=6+7 | | 14a=7 | | 16n^2+30n-25=0 | | 42=7w | | x+x=6 | | p-15=13-5p | | 9y-9=4y+6 | | -5+15=16x-2-15x | | 6y-16y=-40-50 | | -8c+1=-7 | | 3(3c-1)-4=4c+8 | | 42+4y-15=15y-9-5y | | 14-m=-7 | | 3g-6(g-7)=42 | | 2(3X+5)-2(7X-3)=X+7 | | 3x^3-X^2-15X+5=0 | | 9+x=7 | | 16=x+4 | | 8x+14-7x=-4-12 | | 27x-.3x^2=0 | | 3M+7=31M | | 12x=4(6x+21) |

Equations solver categories