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

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


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

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

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

Multiply (-7 + 4x) * (5 + 8x)
(-7(5 + 8x) + 4x * (5 + 8x)) = 0
((5 * -7 + 8x * -7) + 4x * (5 + 8x)) = 0
((-35 + -56x) + 4x * (5 + 8x)) = 0
(-35 + -56x + (5 * 4x + 8x * 4x)) = 0
(-35 + -56x + (20x + 32x2)) = 0

Combine like terms: -56x + 20x = -36x
(-35 + -36x + 32x2) = 0

Solving
-35 + -36x + 32x2 = 0

Solving for variable 'x'.

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


Subproblem 1
Set the factor '(-5 + -8x)' equal to zero and attempt to solve:

Simplifying
-5 + -8x = 0

Solving
-5 + -8x = 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 + -8x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -8x = 0 + 5
-8x = 0 + 5

Combine like terms: 0 + 5 = 5
-8x = 5

Divide each side by '-8'.
x = -0.625

Simplifying
x = -0.625

Subproblem 2
Set the factor '(7 + -4x)' equal to zero and attempt to solve:

Simplifying
7 + -4x = 0

Solving
7 + -4x = 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 + -4x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4x = 0 + -7
-4x = 0 + -7

Combine like terms: 0 + -7 = -7
-4x = -7

Divide each side by '-4'.
x = 1.75

Simplifying
x = 1.75
Solution
x = {-0.625, 1.75}

See similar equations:

| (8x-2)(3x+4)=(4x+3)(6x+1) | | 11x^3+18x^2+9x=0 | | 5x^2+16-3=5-2x | | x^2+x=x+4 | | 5.5x+0.65=-1.64 | | -2[b-3]+8= | | a^2+12a= | | x^2+x+7=6x+3 | | (-3)2*(5-7)2-(-9)/3=39 | | -5x+9=-9.8 | | 360x^2-12x-2550=0 | | 28.8+10b=15b+3.8 | | (-3)2*(5-7)2-(-9)/3= | | -4+9=x | | 3x^2-5x+3=2x^2+4x-7+x^2 | | 4(2y+9)-7y=34 | | 20=6*2 | | 125+5m+2m=125+3m | | 3x+28=4x+21 | | 7m^4+2m^3-9m^2=0 | | -96+(-58x)=-1894 | | 4(2y+10)-7y=37 | | -96+(-58x)=-908 | | -96+(-58x)=908 | | 8n+6=n+6 | | 264=26(2) | | lnx+2=7 | | -4(b+1)+2b=3(2b-1) | | 0=-16t^2+80t+4 | | 26+4x=11+9x | | 7n^2+61n+40=0 | | -16t^2+50t+60=0 |

Equations solver categories