(x+1)(x-2)-(4x-3)(x+5)=x(x-9)

Simple and best practice solution for (x+1)(x-2)-(4x-3)(x+5)=x(x-9) 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+1)(x-2)-(4x-3)(x+5)=x(x-9) equation:


Simplifying
(x + 1)(x + -2) + -1(4x + -3)(x + 5) = x(x + -9)

Reorder the terms:
(1 + x)(x + -2) + -1(4x + -3)(x + 5) = x(x + -9)

Reorder the terms:
(1 + x)(-2 + x) + -1(4x + -3)(x + 5) = x(x + -9)

Multiply (1 + x) * (-2 + x)
(1(-2 + x) + x(-2 + x)) + -1(4x + -3)(x + 5) = x(x + -9)
((-2 * 1 + x * 1) + x(-2 + x)) + -1(4x + -3)(x + 5) = x(x + -9)
((-2 + 1x) + x(-2 + x)) + -1(4x + -3)(x + 5) = x(x + -9)
(-2 + 1x + (-2 * x + x * x)) + -1(4x + -3)(x + 5) = x(x + -9)
(-2 + 1x + (-2x + x2)) + -1(4x + -3)(x + 5) = x(x + -9)

Combine like terms: 1x + -2x = -1x
(-2 + -1x + x2) + -1(4x + -3)(x + 5) = x(x + -9)

Reorder the terms:
-2 + -1x + x2 + -1(-3 + 4x)(x + 5) = x(x + -9)

Reorder the terms:
-2 + -1x + x2 + -1(-3 + 4x)(5 + x) = x(x + -9)

Multiply (-3 + 4x) * (5 + x)
-2 + -1x + x2 + -1(-3(5 + x) + 4x * (5 + x)) = x(x + -9)
-2 + -1x + x2 + -1((5 * -3 + x * -3) + 4x * (5 + x)) = x(x + -9)
-2 + -1x + x2 + -1((-15 + -3x) + 4x * (5 + x)) = x(x + -9)
-2 + -1x + x2 + -1(-15 + -3x + (5 * 4x + x * 4x)) = x(x + -9)
-2 + -1x + x2 + -1(-15 + -3x + (20x + 4x2)) = x(x + -9)

Combine like terms: -3x + 20x = 17x
-2 + -1x + x2 + -1(-15 + 17x + 4x2) = x(x + -9)
-2 + -1x + x2 + (-15 * -1 + 17x * -1 + 4x2 * -1) = x(x + -9)
-2 + -1x + x2 + (15 + -17x + -4x2) = x(x + -9)

Reorder the terms:
-2 + 15 + -1x + -17x + x2 + -4x2 = x(x + -9)

Combine like terms: -2 + 15 = 13
13 + -1x + -17x + x2 + -4x2 = x(x + -9)

Combine like terms: -1x + -17x = -18x
13 + -18x + x2 + -4x2 = x(x + -9)

Combine like terms: x2 + -4x2 = -3x2
13 + -18x + -3x2 = x(x + -9)

Reorder the terms:
13 + -18x + -3x2 = x(-9 + x)
13 + -18x + -3x2 = (-9 * x + x * x)
13 + -18x + -3x2 = (-9x + x2)

Solving
13 + -18x + -3x2 = -9x + x2

Solving for variable 'x'.

Reorder the terms:
13 + -18x + 9x + -3x2 + -1x2 = -9x + x2 + 9x + -1x2

Combine like terms: -18x + 9x = -9x
13 + -9x + -3x2 + -1x2 = -9x + x2 + 9x + -1x2

Combine like terms: -3x2 + -1x2 = -4x2
13 + -9x + -4x2 = -9x + x2 + 9x + -1x2

Reorder the terms:
13 + -9x + -4x2 = -9x + 9x + x2 + -1x2

Combine like terms: -9x + 9x = 0
13 + -9x + -4x2 = 0 + x2 + -1x2
13 + -9x + -4x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
13 + -9x + -4x2 = 0

Factor a trinomial.
(1 + -1x)(13 + 4x) = 0

Subproblem 1

Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1

Subproblem 2

Set the factor '(13 + 4x)' equal to zero and attempt to solve: Simplifying 13 + 4x = 0 Solving 13 + 4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4x = 0 + -13 4x = 0 + -13 Combine like terms: 0 + -13 = -13 4x = -13 Divide each side by '4'. x = -3.25 Simplifying x = -3.25

Solution

x = {1, -3.25}

See similar equations:

| x-(x*0.2)=4736.95 | | 5x+38=2x+26 | | (32)4= | | y=-0.0001*x^2+0.7453*x-576.9 | | -2(3x-2.4)=-3(3x-2.4) | | -1.65=7.61z-1.65 | | 12x+15=24-6 | | 3(2k+6)=21 | | f(x)=10-x^2 | | k/4-5=-1 | | 5y^3-4y^2=5y^2-4 | | 34=2v+16 | | (4x-3)(3x-2)=0 | | 18p^2+21p-15=0 | | -2(-3+n)=4 | | 5y^3-4y^2=5y^3-4 | | 4x^2-9=3x^2-12 | | 5(x-7)=4(2x-3) | | -14=-5+3y | | 6x^2/xd | | x+58=119 | | x-(x*0.2)=2305.27 | | -2+2x=x+4 | | 5t+12=7t+8 | | a/4=-17 | | ax/xd | | -14.3m-13.6=-7.6m+16.8-5.1m | | .05x+.008=.016+.04x | | 10(s-6)=168 | | 10u-4u=54 | | 8x^5=3+7x | | 2/2-3=5 |

Equations solver categories