(2x-5)(-7x+4)=0

Simple and best practice solution for (2x-5)(-7x+4)=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-5)(-7x+4)=0 equation: 


Simplifying
(2x + -5)(-7x + 4) = 0

Reorder the terms:
(-5 + 2x)(-7x + 4) = 0

Reorder the terms:
(-5 + 2x)(4 + -7x) = 0

Multiply (-5 + 2x) * (4 + -7x)
(-5(4 + -7x) + 2x * (4 + -7x)) = 0
((4 * -5 + -7x * -5) + 2x * (4 + -7x)) = 0
((-20 + 35x) + 2x * (4 + -7x)) = 0
(-20 + 35x + (4 * 2x + -7x * 2x)) = 0
(-20 + 35x + (8x + -14x2)) = 0

Combine like terms: 35x + 8x = 43x
(-20 + 43x + -14x2) = 0

Solving
-20 + 43x + -14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + 2x)(4 + -7x) = 0


Subproblem 1
Set the factor '(-5 + 2x)' equal to zero and attempt to solve:

Simplifying
-5 + 2x = 0

Solving
-5 + 2x = 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 + 2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 0 + 5
2x = 0 + 5

Combine like terms: 0 + 5 = 5
2x = 5

Divide each side by '2'.
x = 2.5

Simplifying
x = 2.5

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

Simplifying
4 + -7x = 0

Solving
4 + -7x = 0

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

Add '-4' to each side of the equation.
4 + -4 + -7x = 0 + -4

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

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

Divide each side by '-7'.
x = 0.5714285714

Simplifying
x = 0.5714285714
Solution
x = {2.5, 0.5714285714}

See similar equations:

| (-3x-8)(-8x-5)=0 | | t^3= | | z^3+3z^2+6z+4=0 | | h(t)=55+30t-5t^2 | | 16+3-x=14 | | (12r^5+6r-14)+(11r^5+11r-1)=0 | | 28-y=226 | | -6(k+2)-k-3=-7(k+4)+13 | | (-6x^5+x)-(-8x-2-5x^5)= | | -7(v+3)=2v-30 | | rx=100+15x-x^2 | | -7(u+3)=2v-30 | | -5p-4(6-3p)=5(p-4)-12 | | 4(x-2)+x=5x | | 13(v+1)-4v=3(3v+2)-7 | | 12w-8=4w-7 | | r(x)=100+15x-x^2 | | ln(6x+2)-ln(x+1)=ln(2x-1) | | h(t)=-16t^2+16t+36 | | -3y-7x=2 | | -16(x^2-2x+20.25)-324=0 | | T(8)=4n-5 | | -5(x+3)-x-6=-6(x+6)+15 | | -9p-24=84 | | -162=-7(-7x-4)+6 | | 112=7n-28 | | 15y^4-12y^3= | | 2=-6y+4 | | 3m+5n+6m= | | 8y-4=7 | | -16x^2+117.5=0 | | 16x-8=5(3x+2)-2 |

Equations solver categories