4x^2-14x=-10

Simple and best practice solution for 4x^2-14x=-10 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 4x^2-14x=-10 equation:


Simplifying
4x2 + -14x = -10

Reorder the terms:
-14x + 4x2 = -10

Solving
-14x + 4x2 = -10

Solving for variable 'x'.

Reorder the terms:
10 + -14x + 4x2 = -10 + 10

Combine like terms: -10 + 10 = 0
10 + -14x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(5 + -7x + 2x2) = 0

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

Ignore the factor 2.

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 '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5

Solution

x = {1, 2.5}

See similar equations:

| t-18=54 | | x^2-14x=-10 | | -3=-5x+6x-2 | | -25x^2+64= | | 1n=4-3n | | 66=-6/5(x+3) | | -5t-12=60 | | -8=f-30 | | -14+7= | | (-2x^2)-3x+15=0 | | x^4+8x^2+1= | | 31-3x=9 | | 1.7(3h-4)=6(3.4k-2) | | 4a^2-20a+24= | | (-2x^2)+9x+15=0 | | 18a^2+10a=16k+4 | | 5m+6=3m+30 | | -13+4d=31 | | 10x^3-24x^2-20x+78=0 | | 7-5u=-38 | | 25a^2-10a+1= | | 3h+4=5 | | 11+5=12 | | -7+12=-9 | | -7-13=-2 | | 10-16v=4 | | 4+3x=-2 | | -13=-2 | | b(b+5)=0 | | 6x+11=x+6 | | 3u-4=2u+12 | | 6+y=14 |

Equations solver categories