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

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


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

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

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

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

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

| 14+6x=-1x | | 11x-8x=15 | | 10n+6-2n=38 | | b+(-3)=5 | | 10(4a+5b)-8(7a+2)= | | 3+8(x+1)=5+8x | | -5y=35 | | 25y^6-20y^3+4= | | 2x^2=30-4x | | 18y^2+24y+8=0 | | 2(x+1)+3(x-2)=x+3 | | 4(p+5q-11)= | | 9b^2+3b-20=0 | | 5(4x)-15(6x+28)=0 | | -8.7n+9.5+15.9-7.2n-8.4m= | | 13(x-13)=169 | | 125r^2+0r-180= | | 5(x-11)+3x= | | 6x=2.5x-7 | | (-3x+2y)(-9)= | | 4.3p=23.81 | | 5x+3=2x+1 | | 10=3y-50 | | 6(3x-9)= | | 7x+4=84 | | (x+6)+(x+2)+10+20=180 | | 5x+34=2x+13 | | -4(6.1x-5.4y-2z+9)= | | 3+2m=-7 | | 5-4k=21 | | 6x+8=3x+17 | | (x+8)+(x+5)+(3x-4)=180 |

Equations solver categories