(4x-5)(x-6)=(1-6x)(x+10)

Simple and best practice solution for (4x-5)(x-6)=(1-6x)(x+10) 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)(x-6)=(1-6x)(x+10) equation: 


Simplifying
(4x + -5)(x + -6) = (1 + -6x)(x + 10)

Reorder the terms:
(-5 + 4x)(x + -6) = (1 + -6x)(x + 10)

Reorder the terms:
(-5 + 4x)(-6 + x) = (1 + -6x)(x + 10)

Multiply (-5 + 4x) * (-6 + x)
(-5(-6 + x) + 4x * (-6 + x)) = (1 + -6x)(x + 10)
((-6 * -5 + x * -5) + 4x * (-6 + x)) = (1 + -6x)(x + 10)
((30 + -5x) + 4x * (-6 + x)) = (1 + -6x)(x + 10)
(30 + -5x + (-6 * 4x + x * 4x)) = (1 + -6x)(x + 10)
(30 + -5x + (-24x + 4x2)) = (1 + -6x)(x + 10)

Combine like terms: -5x + -24x = -29x
(30 + -29x + 4x2) = (1 + -6x)(x + 10)

Reorder the terms:
30 + -29x + 4x2 = (1 + -6x)(10 + x)

Multiply (1 + -6x) * (10 + x)
30 + -29x + 4x2 = (1(10 + x) + -6x * (10 + x))
30 + -29x + 4x2 = ((10 * 1 + x * 1) + -6x * (10 + x))
30 + -29x + 4x2 = ((10 + 1x) + -6x * (10 + x))
30 + -29x + 4x2 = (10 + 1x + (10 * -6x + x * -6x))
30 + -29x + 4x2 = (10 + 1x + (-60x + -6x2))

Combine like terms: 1x + -60x = -59x
30 + -29x + 4x2 = (10 + -59x + -6x2)

Solving
30 + -29x + 4x2 = 10 + -59x + -6x2

Solving for variable 'x'.

Reorder the terms:
30 + -10 + -29x + 59x + 4x2 + 6x2 = 10 + -59x + -6x2 + -10 + 59x + 6x2

Combine like terms: 30 + -10 = 20
20 + -29x + 59x + 4x2 + 6x2 = 10 + -59x + -6x2 + -10 + 59x + 6x2

Combine like terms: -29x + 59x = 30x
20 + 30x + 4x2 + 6x2 = 10 + -59x + -6x2 + -10 + 59x + 6x2

Combine like terms: 4x2 + 6x2 = 10x2
20 + 30x + 10x2 = 10 + -59x + -6x2 + -10 + 59x + 6x2

Reorder the terms:
20 + 30x + 10x2 = 10 + -10 + -59x + 59x + -6x2 + 6x2

Combine like terms: 10 + -10 = 0
20 + 30x + 10x2 = 0 + -59x + 59x + -6x2 + 6x2
20 + 30x + 10x2 = -59x + 59x + -6x2 + 6x2

Combine like terms: -59x + 59x = 0
20 + 30x + 10x2 = 0 + -6x2 + 6x2
20 + 30x + 10x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
20 + 30x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '10'.
10(2 + 3x + x2) = 0

Factor a trinomial.
10((2 + x)(1 + x)) = 0

Ignore the factor 10.

Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve:

Simplifying
2 + x = 0

Solving
2 + x = 0

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

Add '-2' to each side of the equation.
2 + -2 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2

Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-2, -1}

See similar equations:

| 2+3(x-2)=11 | | 2*0-9y=-18 | | -30=a^2+11a | | 8(n+9)+4(n-3)= | | 3b^2-14b-5=0 | | 4m-7m+1=16 | | (5x-6)(x-9)=(4x-3)(x-14) | | -9/7*(-2)*1/-6 | | (x-3)(x+8)=(x+4)(x+5) | | 2(x-9)-(1-5x)=-19 | | x+9z/4+6=9x | | 4(x+9)=-6(x-1) | | 4*-5/3*2/-9 | | x/6=16 | | v-8=27 | | b+9/8=-4 | | X=y-7 | | 2x+6=4(x-1) | | 83=p+29 | | -6/-7*4*5/-3 | | 5(n+2)+8(n+9)= | | 2x-9y=-18 | | 2(10y+8)=5(4y-2) | | 2-(3x-7)=0 | | [x+2]-3=0.5x+1 | | 3/5-2/3-(-8/15) | | [x-2]-3=0.5x+1 | | 2(c+9)=c+4 | | -2/3-7/18+1/2 | | 9b+1=6b-8 | | -1/8+5/6-3/4 | | 2-4/5-1-3/4 |

Equations solver categories