4x^2-28x+49=0

Simple and best practice solution for 4x^2-28x+49=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 4x^2-28x+49=0 equation:


Simplifying
4x2 + -28x + 49 = 0

Reorder the terms:
49 + -28x + 4x2 = 0

Solving
49 + -28x + 4x2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

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 = {3.5, 3.5}

See similar equations:

| -10x+-220=7x+86 | | x^2-21x=0 | | -9r+6t-5-5r+12s+4t-t+5s-r= | | 2x^2-13x+24=0 | | 4w-3w+3=7-3 | | 14x^3+7xy^2=0 | | 80y^2+4y-4=0 | | 36y^2-3y-3=0 | | 8x-3=7(x-2)-7 | | -7(3p+2)-44=2(5p+2) | | 90y^2+3y-3=0 | | -97+11x=5x+71 | | 12x^3+60x^2y+75xy^2=0 | | 0.25(8z-4)=z+8 | | 4x-7=3(x-3)-6 | | 4+10(m-6)= | | 3(4x+12)=60 | | 4t+6t=20-13+13 | | -139-3x=113+11x | | 10=5(2)+b | | 3+x=-9+8 | | y=5(2) | | 3(2-3m)-5(4-5m)=11m+6 | | .5(5x+1)=2(2-3x)+5 | | 5x+8=4(x+6)-10 | | 3(w-5)=-15 | | x^2-7x-8= | | 6(3z-1)-5(z+3)=6(z+1) | | 16y^2-16x^2=0 | | 16m-4=4(2p-3) | | 21x^2-29x=0 | | 3(6x+24)=90 |

Equations solver categories