-10x+28=2x^2

Simple and best practice solution for -10x+28=2x^2 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 -10x+28=2x^2 equation:


Simplifying
-10x + 28 = 2x2

Reorder the terms:
28 + -10x = 2x2

Solving
28 + -10x = 2x2

Solving for variable 'x'.

Combine like terms: 2x2 + -2x2 = 0
28 + -10x + -2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(14 + -5x + -1x2) = 0

Factor a trinomial.
2((2 + -1x)(7 + x)) = 0

Ignore the factor 2.

Subproblem 1

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

Subproblem 2

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

Solution

x = {2, -7}

See similar equations:

| h=-16t^2+96t-128 | | -1(x)=(3x^2)+6 | | -5(x)=(3x^2)+6 | | graphx+3y=12 | | g(x)=(3x^2)+6 | | 3/4d-11=1/4d-6/1/2 | | 2x+7y+12=0 | | 36/134 | | (sin^-1)(2x)=1/2 | | 6t^2-156=0 | | -3x^2+4y=0 | | sin^-12x=1/2 | | 4i+2h=52 | | 9y+4x=360 | | 9y+4x=270 | | 18=3x-3y | | 0=5-sin(2x)-4*cos(x) | | -x-11(13+4x)=-3(5-9x)+2 | | 0=5-sin(2x)-4*cox(x) | | 5(x+7)=4x+29 | | 14x+9y=360 | | 2m^2-m+1=0 | | 15v-16=8 | | x^2+2x+y^2-12y+37=0 | | (8y+2)-(3y+9)= | | 9y+14x=360 | | -3p+7=5(8p+4) | | 6a+1=2(4a-12) | | 4-(2x)+(0.6(x^2))=0 | | h=-t^2+8t+4 | | y=-3(x^2-8x+16)-1 | | 4w+4=-16 |

Equations solver categories