(x-5)(-3x+7)-(x-5)=0

Simple and best practice solution for (x-5)(-3x+7)-(x-5)=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-5)(-3x+7)-(x-5)=0 equation:


Simplifying
(x + -5)(-3x + 7) + -1(x + -5) = 0

Reorder the terms:
(-5 + x)(-3x + 7) + -1(x + -5) = 0

Reorder the terms:
(-5 + x)(7 + -3x) + -1(x + -5) = 0

Multiply (-5 + x) * (7 + -3x)
(-5(7 + -3x) + x(7 + -3x)) + -1(x + -5) = 0
((7 * -5 + -3x * -5) + x(7 + -3x)) + -1(x + -5) = 0
((-35 + 15x) + x(7 + -3x)) + -1(x + -5) = 0
(-35 + 15x + (7 * x + -3x * x)) + -1(x + -5) = 0
(-35 + 15x + (7x + -3x2)) + -1(x + -5) = 0

Combine like terms: 15x + 7x = 22x
(-35 + 22x + -3x2) + -1(x + -5) = 0

Reorder the terms:
-35 + 22x + -3x2 + -1(-5 + x) = 0
-35 + 22x + -3x2 + (-5 * -1 + x * -1) = 0
-35 + 22x + -3x2 + (5 + -1x) = 0

Reorder the terms:
-35 + 5 + 22x + -1x + -3x2 = 0

Combine like terms: -35 + 5 = -30
-30 + 22x + -1x + -3x2 = 0

Combine like terms: 22x + -1x = 21x
-30 + 21x + -3x2 = 0

Solving
-30 + 21x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-10 + 7x + -1x2) = 0

Factor a trinomial.
3((-5 + x)(2 + -1x)) = 0

Ignore the factor 3.

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

Simplifying
-5 + x = 0

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

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

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

Simplifying
x = 5

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 = {5, 2}

See similar equations:

| -17=-8 | | x^2+6x=x+3 | | 5y-6=2y+10 | | (X+8)+x=6 | | 8+2(x-2)=8 | | 6s-2t+3+7s+5t-9= | | 5x+39= | | 37+w=5w-2 | | X=2y-550 | | 9x+15=(3x+5) | | (8+10)-10=2x | | 2x-5y=-24 | | (X+8)+x=8 | | 3(e+1)=2(e-5) | | 84x^3-84x^2+84x-84=0 | | -63=-7x-9y*-7 | | -43x-23=15-72x | | 3sinx-2=-3 | | 36x-108=36+36x | | 5g+6+7g-10= | | vsquared+6v-16=0 | | h-8=12 | | -2x+8=-1x+3 | | 2x+10-3=-2x-2+1 | | 16+24x=4 | | v+6v-16=0 | | 8x+16=450+6 | | 5(x+20)=500-5x | | 2y^2-9y+2=0 | | 4(x+1)-3(2x-5)=22 | | x=15*2.5 | | 2x+2=-(x-11) |

Equations solver categories