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

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


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

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

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

Multiply (-7 + x) * (5 + -3x)
(-7(5 + -3x) + x(5 + -3x)) + -1(x + -7) = 0
((5 * -7 + -3x * -7) + x(5 + -3x)) + -1(x + -7) = 0
((-35 + 21x) + x(5 + -3x)) + -1(x + -7) = 0
(-35 + 21x + (5 * x + -3x * x)) + -1(x + -7) = 0
(-35 + 21x + (5x + -3x2)) + -1(x + -7) = 0

Combine like terms: 21x + 5x = 26x
(-35 + 26x + -3x2) + -1(x + -7) = 0

Reorder the terms:
-35 + 26x + -3x2 + -1(-7 + x) = 0
-35 + 26x + -3x2 + (-7 * -1 + x * -1) = 0
-35 + 26x + -3x2 + (7 + -1x) = 0

Reorder the terms:
-35 + 7 + 26x + -1x + -3x2 = 0

Combine like terms: -35 + 7 = -28
-28 + 26x + -1x + -3x2 = 0

Combine like terms: 26x + -1x = 25x
-28 + 25x + -3x2 = 0

Solving
-28 + 25x + -3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + x)(4 + -3x) = 0


Subproblem 1
Set the factor '(-7 + x)' equal to zero and attempt to solve:

Simplifying
-7 + x = 0

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

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

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

Simplifying
x = 7

Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve:

Simplifying
4 + -3x = 0

Solving
4 + -3x = 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 + -3x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 0 + -4
-3x = 0 + -4

Combine like terms: 0 + -4 = -4
-3x = -4

Divide each side by '-3'.
x = 1.333333333

Simplifying
x = 1.333333333
Solution
x = {7, 1.333333333}

See similar equations:

| 2(X-5)+3(2-2x)-4(9x+1)=11-4(X+2)-3x+3(x-4) | | 2x+5=5x-10Equre | | -0.2x+13=0.2x-6 | | 2.68x+2.04=-1.02x+6.1 | | -18-4x=7(-4x+2)-8x | | -12=-(3/7)z | | r^2+28r-153.04=0 | | 3(X-3)+7x=6-2(-5-3x) | | (-x-4)(x+8)=0 | | 6ab-4ab= | | 9-3x=22 | | 15+3p=9 | | 10(4C-1)-16=38C+10 | | 7=w+8.3 | | 9x-4=-4x+9 | | (x2-7)^1/2 | | -7x+12x=50 | | 7x=7x+6 | | 3x+12-x=2x-3 | | 160p+50=1000 | | 5X-4/3=7 | | 5c-5-2c=4c+7 | | 2w+3(w-4)=78 | | -8t+14=3t-30 | | (-1+-2x)(2+-7x)=0 | | 5(2x-3)-(x+8)=13 | | 3.3=0.015*x | | 12x-8y=-28 | | 10x-9+3x-7= | | -20x^8+10x+5x^2=0 | | -20x^8-10x+5x^2=0 | | 6-5(1-X)=4 |

Equations solver categories