(7x-5)(4x+1)=0

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


Simplifying
(7x + -5)(4x + 1) = 0

Reorder the terms:
(-5 + 7x)(4x + 1) = 0

Reorder the terms:
(-5 + 7x)(1 + 4x) = 0

Multiply (-5 + 7x) * (1 + 4x)
(-5(1 + 4x) + 7x * (1 + 4x)) = 0
((1 * -5 + 4x * -5) + 7x * (1 + 4x)) = 0
((-5 + -20x) + 7x * (1 + 4x)) = 0
(-5 + -20x + (1 * 7x + 4x * 7x)) = 0
(-5 + -20x + (7x + 28x2)) = 0

Combine like terms: -20x + 7x = -13x
(-5 + -13x + 28x2) = 0

Solving
-5 + -13x + 28x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1 + -4x)(5 + -7x) = 0


Subproblem 1
Set the factor '(-1 + -4x)' equal to zero and attempt to solve:

Simplifying
-1 + -4x = 0

Solving
-1 + -4x = 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 + -4x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4x = 0 + 1
-4x = 0 + 1

Combine like terms: 0 + 1 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

Subproblem 2
Set the factor '(5 + -7x)' equal to zero and attempt to solve:

Simplifying
5 + -7x = 0

Solving
5 + -7x = 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 + -7x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -7x = 0 + -5
-7x = 0 + -5

Combine like terms: 0 + -5 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143
Solution
x = {-0.25, 0.7142857143}

See similar equations:

| -3.4t-7.9-0.27=-15.75-3.8t | | 2x+31=4x-9 | | 2.6+x=4.9 | | -4(5n-1)-8(1-2n)=-32 | | (2-(2-(4X+1)-5)-X)=10 | | 8ab+2ab= | | 0=-x^2-11x+30 | | cosine(x)=.8 | | y=.0556x^3-1.286x^2+9.76x-17.4 | | 5(x+6)=8c | | 19-3p=2p-3-7p | | x+(3+x)=25 | | 6z^2+16z-6=0 | | 9=-5x+9 | | 5x^2+2=77 | | 18m-2n= | | 6-2r+1=3r-59(r-2) | | -18g-2=-10-19g | | -49=-(1-8v)-8(6-8v) | | 5(6-p)=-7p+26 | | 10x+60=9x-30 | | (3x+7)+(-4x+8)= | | (x-41)-(x-49)=8 | | 4[2-(3(c+1)-2(c+1))]=-2c | | ln(x-4)+ln(x-14)=ln(x^2) | | 6x(7x-6z)= | | 20+16z=11z | | 81+7y=-2y | | -2x+14=8+4x | | 3m+14=6+2m-12 | | -4s=5s+9 | | 5x+15=3(2x+6) |

Equations solver categories