(-2x+7)(x+2)-(10x-3)(-2x+7)=0

Simple and best practice solution for (-2x+7)(x+2)-(10x-3)(-2x+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 (-2x+7)(x+2)-(10x-3)(-2x+7)=0 equation: 


Simplifying
(-2x + 7)(x + 2) + -1(10x + -3)(-2x + 7) = 0

Reorder the terms:
(7 + -2x)(x + 2) + -1(10x + -3)(-2x + 7) = 0

Reorder the terms:
(7 + -2x)(2 + x) + -1(10x + -3)(-2x + 7) = 0

Multiply (7 + -2x) * (2 + x)
(7(2 + x) + -2x * (2 + x)) + -1(10x + -3)(-2x + 7) = 0
((2 * 7 + x * 7) + -2x * (2 + x)) + -1(10x + -3)(-2x + 7) = 0
((14 + 7x) + -2x * (2 + x)) + -1(10x + -3)(-2x + 7) = 0
(14 + 7x + (2 * -2x + x * -2x)) + -1(10x + -3)(-2x + 7) = 0
(14 + 7x + (-4x + -2x2)) + -1(10x + -3)(-2x + 7) = 0

Combine like terms: 7x + -4x = 3x
(14 + 3x + -2x2) + -1(10x + -3)(-2x + 7) = 0

Reorder the terms:
14 + 3x + -2x2 + -1(-3 + 10x)(-2x + 7) = 0

Reorder the terms:
14 + 3x + -2x2 + -1(-3 + 10x)(7 + -2x) = 0

Multiply (-3 + 10x) * (7 + -2x)
14 + 3x + -2x2 + -1(-3(7 + -2x) + 10x * (7 + -2x)) = 0
14 + 3x + -2x2 + -1((7 * -3 + -2x * -3) + 10x * (7 + -2x)) = 0
14 + 3x + -2x2 + -1((-21 + 6x) + 10x * (7 + -2x)) = 0
14 + 3x + -2x2 + -1(-21 + 6x + (7 * 10x + -2x * 10x)) = 0
14 + 3x + -2x2 + -1(-21 + 6x + (70x + -20x2)) = 0

Combine like terms: 6x + 70x = 76x
14 + 3x + -2x2 + -1(-21 + 76x + -20x2) = 0
14 + 3x + -2x2 + (-21 * -1 + 76x * -1 + -20x2 * -1) = 0
14 + 3x + -2x2 + (21 + -76x + 20x2) = 0

Reorder the terms:
14 + 21 + 3x + -76x + -2x2 + 20x2 = 0

Combine like terms: 14 + 21 = 35
35 + 3x + -76x + -2x2 + 20x2 = 0

Combine like terms: 3x + -76x = -73x
35 + -73x + -2x2 + 20x2 = 0

Combine like terms: -2x2 + 20x2 = 18x2
35 + -73x + 18x2 = 0

Solving
35 + -73x + 18x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(5 + -9x)(7 + -2x) = 0


Subproblem 1
Set the factor '(5 + -9x)' equal to zero and attempt to solve:

Simplifying
5 + -9x = 0

Solving
5 + -9x = 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 + -9x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -9x = 0 + -5
-9x = 0 + -5

Combine like terms: 0 + -5 = -5
-9x = -5

Divide each side by '-9'.
x = 0.5555555556

Simplifying
x = 0.5555555556

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

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {0.5555555556, 3.5}

See similar equations:

| 140+x+25=180 | | f(x)=2x^2whatisf(3) | | 1+4m=5m | | F(3)=6*3-2 | | -34=m-4 | | F(2)=6*2-2 | | -10+3w=10+8w+10 | | 4r+5=17+2r | | x^2+5x-(2k+4)=0 | | F(5)=1-4*5 | | xdy+(x+y)DX=0 | | F(4)=1-4*4 | | -2(3x-4)-55=5x-11(x+1) | | -8(x+7)=-88 | | 1/4y-3=1/7y | | F(3)=1-4*3 | | F(2)=1-4*2 | | 8-k=k-6 | | -12+5p=p+4 | | 20x-(4x-3)=51 | | s(s+4)=192 | | 5-4p=-3p-2 | | 5x-7x+2=x-3+5 | | -4x-8=-14-2x | | 11z-3(z-9)=123# | | -8x+8(1+3x)=-120 | | -5a+4a+16=4-5a | | F(5)=4*5+5 | | 3/2@-8=11 | | 8x-2=3+7x | | 6x+20=137 | | -5(t-3)-7(-3t-8)=15(t+3)-4 |

Equations solver categories