(-2x^2-16x-48)(5x-1)-(x^2-2x-24)(-10x+53)=0

Simple and best practice solution for (-2x^2-16x-48)(5x-1)-(x^2-2x-24)(-10x+53)=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 (-2x^2-16x-48)(5x-1)-(x^2-2x-24)(-10x+53)=0 equation: 


Simplifying
(-2x2 + -16x + -48)(5x + -1) + -1(x2 + -2x + -24)(-10x + 53) = 0

Reorder the terms:
(-48 + -16x + -2x2)(5x + -1) + -1(x2 + -2x + -24)(-10x + 53) = 0

Reorder the terms:
(-48 + -16x + -2x2)(-1 + 5x) + -1(x2 + -2x + -24)(-10x + 53) = 0

Multiply (-48 + -16x + -2x2) * (-1 + 5x)
(-48(-1 + 5x) + -16x * (-1 + 5x) + -2x2 * (-1 + 5x)) + -1(x2 + -2x + -24)(-10x + 53) = 0
((-1 * -48 + 5x * -48) + -16x * (-1 + 5x) + -2x2 * (-1 + 5x)) + -1(x2 + -2x + -24)(-10x + 53) = 0
((48 + -240x) + -16x * (-1 + 5x) + -2x2 * (-1 + 5x)) + -1(x2 + -2x + -24)(-10x + 53) = 0
(48 + -240x + (-1 * -16x + 5x * -16x) + -2x2 * (-1 + 5x)) + -1(x2 + -2x + -24)(-10x + 53) = 0
(48 + -240x + (16x + -80x2) + -2x2 * (-1 + 5x)) + -1(x2 + -2x + -24)(-10x + 53) = 0
(48 + -240x + 16x + -80x2 + (-1 * -2x2 + 5x * -2x2)) + -1(x2 + -2x + -24)(-10x + 53) = 0
(48 + -240x + 16x + -80x2 + (2x2 + -10x3)) + -1(x2 + -2x + -24)(-10x + 53) = 0

Combine like terms: -240x + 16x = -224x
(48 + -224x + -80x2 + 2x2 + -10x3) + -1(x2 + -2x + -24)(-10x + 53) = 0

Combine like terms: -80x2 + 2x2 = -78x2
(48 + -224x + -78x2 + -10x3) + -1(x2 + -2x + -24)(-10x + 53) = 0

Reorder the terms:
48 + -224x + -78x2 + -10x3 + -1(-24 + -2x + x2)(-10x + 53) = 0

Reorder the terms:
48 + -224x + -78x2 + -10x3 + -1(-24 + -2x + x2)(53 + -10x) = 0

Multiply (-24 + -2x + x2) * (53 + -10x)
48 + -224x + -78x2 + -10x3 + -1(-24(53 + -10x) + -2x * (53 + -10x) + x2(53 + -10x)) = 0
48 + -224x + -78x2 + -10x3 + -1((53 * -24 + -10x * -24) + -2x * (53 + -10x) + x2(53 + -10x)) = 0
48 + -224x + -78x2 + -10x3 + -1((-1272 + 240x) + -2x * (53 + -10x) + x2(53 + -10x)) = 0
48 + -224x + -78x2 + -10x3 + -1(-1272 + 240x + (53 * -2x + -10x * -2x) + x2(53 + -10x)) = 0
48 + -224x + -78x2 + -10x3 + -1(-1272 + 240x + (-106x + 20x2) + x2(53 + -10x)) = 0
48 + -224x + -78x2 + -10x3 + -1(-1272 + 240x + -106x + 20x2 + (53 * x2 + -10x * x2)) = 0
48 + -224x + -78x2 + -10x3 + -1(-1272 + 240x + -106x + 20x2 + (53x2 + -10x3)) = 0

Combine like terms: 240x + -106x = 134x
48 + -224x + -78x2 + -10x3 + -1(-1272 + 134x + 20x2 + 53x2 + -10x3) = 0

Combine like terms: 20x2 + 53x2 = 73x2
48 + -224x + -78x2 + -10x3 + -1(-1272 + 134x + 73x2 + -10x3) = 0
48 + -224x + -78x2 + -10x3 + (-1272 * -1 + 134x * -1 + 73x2 * -1 + -10x3 * -1) = 0
48 + -224x + -78x2 + -10x3 + (1272 + -134x + -73x2 + 10x3) = 0

Reorder the terms:
48 + 1272 + -224x + -134x + -78x2 + -73x2 + -10x3 + 10x3 = 0

Combine like terms: 48 + 1272 = 1320
1320 + -224x + -134x + -78x2 + -73x2 + -10x3 + 10x3 = 0

Combine like terms: -224x + -134x = -358x
1320 + -358x + -78x2 + -73x2 + -10x3 + 10x3 = 0

Combine like terms: -78x2 + -73x2 = -151x2
1320 + -358x + -151x2 + -10x3 + 10x3 = 0

Combine like terms: -10x3 + 10x3 = 0
1320 + -358x + -151x2 + 0 = 0
1320 + -358x + -151x2 = 0

Solving
1320 + -358x + -151x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(2 + -1x)(660 + 151x) = 0


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

Simplifying
2 + -1x = 0

Solving
2 + -1x = 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 + -1x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 0 + -2
-1x = 0 + -2

Combine like terms: 0 + -2 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(660 + 151x)' equal to zero and attempt to solve:

Simplifying
660 + 151x = 0

Solving
660 + 151x = 0

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

Add '-660' to each side of the equation.
660 + -660 + 151x = 0 + -660

Combine like terms: 660 + -660 = 0
0 + 151x = 0 + -660
151x = 0 + -660

Combine like terms: 0 + -660 = -660
151x = -660

Divide each side by '151'.
x = -4.370860927

Simplifying
x = -4.370860927
Solution
x = {2, -4.370860927}

See similar equations:

| -4m+8-2(m+3)=4m-8 | | (3x-7)(2x+9)= | | 2x-5+2x=2(2x-3) | | -189=7-4(7-6x) | | .03x=10000 | | 6+n/5=-4 | | -2(6+5x)-6=-6(3+6x) | | 6x+y=-33 | | .25k-2=.125k | | 6+2x=5x+9 | | -.75t=5 | | 8x+3=-x+3 | | b=11.3 | | -x^3-6x^2+12x+50=0 | | b=11.6 | | 1-8x-9=2x+10 | | 4x-2x+21=5x | | 5(y-1)=2y-17 | | 4-3y=3 | | 9x-4+3x=32 | | 11+-2(8+3p)=49 | | 3z+2=5 | | 70-2y=6-10y | | 6-y=21 | | 4x+9y=-19 | | 7y+(-3)=32 | | 5(4c-1)-1=15c+9 | | (p+3)(p-5)-2(p+3)=0 | | a+0.18=-6.3 | | 63x-9=16+63x | | 64=40x-4x^2 | | (x^3+5)(x^2-2)(2x+4)= |

Equations solver categories