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Simplifying 6w2 + 11w + -35 = 0 Reorder the terms: -35 + 11w + 6w2 = 0 Solving -35 + 11w + 6w2 = 0 Solving for variable 'w'. Factor a trinomial. (-7 + -2w)(5 + -3w) = 0Subproblem 1
Set the factor '(-7 + -2w)' equal to zero and attempt to solve: Simplifying -7 + -2w = 0 Solving -7 + -2w = 0 Move all terms containing w to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2w = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2w = 0 + 7 -2w = 0 + 7 Combine like terms: 0 + 7 = 7 -2w = 7 Divide each side by '-2'. w = -3.5 Simplifying w = -3.5Subproblem 2
Set the factor '(5 + -3w)' equal to zero and attempt to solve: Simplifying 5 + -3w = 0 Solving 5 + -3w = 0 Move all terms containing w to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3w = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3w = 0 + -5 -3w = 0 + -5 Combine like terms: 0 + -5 = -5 -3w = -5 Divide each side by '-3'. w = 1.666666667 Simplifying w = 1.666666667Solution
w = {-3.5, 1.666666667}
| 4.368=t^3838 | | 154-6x=39x+24 | | 4.368=t*3838 | | 6x+23=113 | | 4x^3-40x^2+100x=25 | | 8-7x=39-14x | | M-7=36 | | s^2+1=0 | | 50=2x-10 | | 0=4x^3-40x^2+100x-25 | | x^4-9x^3=0 | | 4.368=t | | -25x^2-5x+6= | | 360x^2-36x+8=0 | | 4x-7=-21 | | -7x+8=-10x-4 | | 24.8.8= | | -10y+3+y=-3y-9 | | 0=-x^2+15x-36 | | 18x=12x+96 | | c-12=36 | | -7x-10=6-5x | | -21(x-7)= | | d(3838)=4.368 | | 4.368(3838)=d | | x^2+3-4=72 | | 0.4x+0.2+0.2y=0.1(y-8) | | 2x^2+20x=156 | | 4x-(x+2)=7x+2(x+5) | | 2x^2+20=156 | | 3838=4.368 | | -x^2+15x+100=0 |