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

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


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

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

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

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

Combine like terms: -8x + 7x = -1x
(-14 + -1x + 4x2) = 0

Solving
-14 + -1x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -4x)(2 + -1x) = 0

Subproblem 1

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

Subproblem 2

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

Solution

x = {-1.75, 2}

See similar equations:

| 10.5+p=-8.32 | | 2(x+6)=4x+12 | | h^2-7h=-60 | | 5(z-2)+6z-4= | | 59-(7b-1)=100 | | X=-2y-1 | | 2x-(5x-11)= | | x^2-2+3x+2=8 | | (3x-6)(x+1)= | | -8(6-6x)=336 | | -6x+2x-5x= | | 14.35s=-5.2 | | 2(x-8)=12 | | -22=-4p-7p | | 7st+4t(s+t+4)-9= | | 5a-30= | | x-8x=14 | | m+1.06=5 | | 9.8m=1.7 | | -7+5x+4x=-79 | | -0.2w=15.4 | | 6y^5-39y^4+18y^3= | | 10+2(x-1)+7x=3x+1 | | P=2-Q | | -8(5x+9y-1)= | | -0.2=15.4 | | -6n-6+3=-15 | | 2w^4-24w^3+72w^2= | | (6x+y-2)(5x)= | | 9.7d=20.8 | | P=5-3Q | | -11=1+2n+4n |

Equations solver categories