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Simplifying 28x2 + -35x + -42 = 0 Reorder the terms: -42 + -35x + 28x2 = 0 Solving -42 + -35x + 28x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '7'. 7(-6 + -5x + 4x2) = 0 Factor a trinomial. 7((-3 + -4x)(2 + -1x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75Subproblem 2
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 = 2Solution
x = {-0.75, 2}
| 5n-7=-25 | | 8/7y-1=47 | | 2x+7+x+3x+1= | | -4+6=6x-2 | | A/32 | | ×/0.36=0.6/0.54 | | 71=7p+8 | | 7x+9+6x=126 | | 2x-72=243 | | 4-2(3x+4)=14 | | 4x-(6x-5)=-1 | | 8b+5=22 | | h+5=6 | | 11x+7xy+2y+14z=15 | | 6X+7X=13 | | -28=-4(8+a) | | 4(2n-4)=7(n+3) | | r-/11/3=-7 | | (-4b)4= | | 16x^2+40x=-11 | | 3(t-2)+5t=4(2t+4)-9 | | 16x^2+40x+11=0 | | (-4b)b= | | -4x+4(7x+20)=-16 | | 452=6+50d | | X+46=73 | | 5=5/8(4)-3 | | 4-(2y+5)= | | .75x-.25(10-x)=.89(10) | | 4x+4(-6x-4)=16 | | 0.3x-0.3y-0.4z=0.5 | | .75x+.25(10-x)=.89(10) |