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Simplifying 2x2 + -12x + 14 = 2x + -6 Reorder the terms: 14 + -12x + 2x2 = 2x + -6 Reorder the terms: 14 + -12x + 2x2 = -6 + 2x Solving 14 + -12x + 2x2 = -6 + 2x Solving for variable 'x'. Reorder the terms: 14 + 6 + -12x + -2x + 2x2 = -6 + 2x + 6 + -2x Combine like terms: 14 + 6 = 20 20 + -12x + -2x + 2x2 = -6 + 2x + 6 + -2x Combine like terms: -12x + -2x = -14x 20 + -14x + 2x2 = -6 + 2x + 6 + -2x Reorder the terms: 20 + -14x + 2x2 = -6 + 6 + 2x + -2x Combine like terms: -6 + 6 = 0 20 + -14x + 2x2 = 0 + 2x + -2x 20 + -14x + 2x2 = 2x + -2x Combine like terms: 2x + -2x = 0 20 + -14x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(10 + -7x + x2) = 0 Factor a trinomial. 2((2 + -1x)(5 + -1x)) = 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 = 2Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {2, 5}
| sqrt(2)*x^2+7x+5*sqrt(2)=0 | | -2r-3=17 | | sqrt(2)x^2+7x+5sqrt(2)=0 | | 3(3m-2)=6(m-5) | | X^2=ax+1 | | 8(y+2)-4y= | | 5+(-12)=5x-7-4x | | 5x(5+55)= | | 15+4n=8+2n | | 20s+8=2s | | 1.998+3.996=8 | | (z-1-i)(z-1+i)(z+1+i)(z+1-i)=l | | a(3b+-1)=2b+2 | | 10x^2-9=0 | | 1500x+10000=1300x+18000 | | 3(2x+10)=5(5x-5) | | E=(3-4x)-(-2x+8) | | 6n-1=2n+1 | | (-2.4-3/5)=-3 | | 22+6=4c+12 | | 7.9x+5.4y=545 | | 1+80z=2+.75z | | 22+33(7)=238 | | 15+.75c=.50+13 | | 22+33r=238 | | 14x+2=1.50+20x | | 6k+1=2k+7 | | 20x^2y-5y=0 | | 22+33(6.5)=238 | | 81s^2-49=0 | | 7s+2=4s+1 | | (2/5+3/5*6.5)=(238/55) |