x(2x-5)=7

Simple and best practice solution for x(2x-5)=7 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(2x-5)=7 equation:


Simplifying
x(2x + -5) = 7

Reorder the terms:
x(-5 + 2x) = 7
(-5 * x + 2x * x) = 7
(-5x + 2x2) = 7

Solving
-5x + 2x2 = 7

Solving for variable 'x'.

Reorder the terms:
-7 + -5x + 2x2 = 7 + -7

Combine like terms: 7 + -7 = 0
-7 + -5x + 2x2 = 0

Factor a trinomial.
(-1 + -1x)(7 + -2x) = 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 '(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 = {-1, 3.5}

See similar equations:

| 2(3x+4)-4(x-2)=3(2x+8)-3(2x-3) | | 2(3x+4)-4(x-2)=3(x+8)-3(4x-3) | | 2(3x+4)-4(x-2)=2(x+8)-3(4x-2) | | 3(2x+2)-4(x-3)=2(x+9)-3(4x-2) | | 2x-2+2(2x+4)=3(4-2x)-2(x+4) | | 3x-2+2(2x+4)=3(4-2x)-2(x+4) | | .456=0.3(7n-31.2) | | 7x-42=63 | | 14x-8y=10 | | 9/8/3= | | w^4-w^2=0 | | 11/8/3= | | 12x^2-84x+2=0 | | 4(x^2)+12x-10=4 | | M^2=24m | | 2x^2-2x=40 | | -3+2x=25 | | 8x^2-16x=192 | | 4(x^2)+12x-14= | | (X+6)(x+3)=-2 | | 2x^3-21x+13=0 | | Y^2-162=0 | | 7/12-2= | | 12x^2-24=0 | | 50x-100x+75x=25 | | 8x-6+3x-8=19 | | 3x-4-6x=8x+16 | | (2y-1)-(8y+2)= | | 8y-3=5(y-1)+y | | 4x+5(3x-5)=(6x-3) | | x^8-4x^7-2x^6= | | 23x-14-7x=49 |

Equations solver categories