4(5-6x)(8x+7)=0

Simple and best practice solution for 4(5-6x)(8x+7)=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 4(5-6x)(8x+7)=0 equation:


Simplifying
4(5 + -6x)(8x + 7) = 0

Reorder the terms:
4(5 + -6x)(7 + 8x) = 0

Multiply (5 + -6x) * (7 + 8x)
4(5(7 + 8x) + -6x * (7 + 8x)) = 0
4((7 * 5 + 8x * 5) + -6x * (7 + 8x)) = 0
4((35 + 40x) + -6x * (7 + 8x)) = 0
4(35 + 40x + (7 * -6x + 8x * -6x)) = 0
4(35 + 40x + (-42x + -48x2)) = 0

Combine like terms: 40x + -42x = -2x
4(35 + -2x + -48x2) = 0
(35 * 4 + -2x * 4 + -48x2 * 4) = 0
(140 + -8x + -192x2) = 0

Solving
140 + -8x + -192x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(35 + -2x + -48x2) = 0

Factor a trinomial.
4((5 + -6x)(7 + 8x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(5 + -6x)' equal to zero and attempt to solve:

Simplifying
5 + -6x = 0

Solving
5 + -6x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 0 + -5
-6x = 0 + -5

Combine like terms: 0 + -5 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333

Subproblem 2
Set the factor '(7 + 8x)' equal to zero and attempt to solve:

Simplifying
7 + 8x = 0

Solving
7 + 8x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 8x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 8x = 0 + -7
8x = 0 + -7

Combine like terms: 0 + -7 = -7
8x = -7

Divide each side by '8'.
x = -0.875

Simplifying
x = -0.875
Solution
x = {0.8333333333, -0.875}

See similar equations:

| 0.2(n+4)=0.6(n-1)+0.2 | | x*4.5=38.7 | | 5n-2n=3n+2 | | 2(3t-2)+2=12-t | | 6(x+3)-6=20-2x-8+8x | | 4x-24=3 | | -6+8(x-5)=17x+2-9x | | 4n+7=-3n | | 2x(7-x)=0 | | 8x^2-30x+7= | | (4x+3)(9-5x)=0 | | 8d-(d-1)=8 | | (-7x+2)(9x-7)=0 | | 4x-9=x+19 | | (3x-5)(5x+8)=0 | | 4p+5q+p-3q= | | (4x+5)(3-5x)=0 | | 8(n-1)=8n+8 | | (4x-3)(x-7)=0 | | 7=-3+2u | | -(9-4a)-(2+3a)-25=-(5-7a)+(-a)+4 | | -6x+8x-9= | | 4=5v-6 | | 16=4+4y | | -2y=-32 | | 0.5x-1.7=10.3x-1 | | 2x+4y=600 | | 3n+18=3(n+2)+12 | | -16x+2x+y+5=0 | | x^6+x^4-17x^2+15=0 | | 5s+10a+12c=310 | | (7-z)(4z-3)=0 |

Equations solver categories