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Simplifying 8x3 + -34x2 + -30x = 0 Reorder the terms: -30x + -34x2 + 8x3 = 0 Solving -30x + -34x2 + 8x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-15 + -17x + 4x2) = 0 Factor a trinomial. 2x((-3 + -4x)(5 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
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 3
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 = {0, -0.75, 5}
| 2n-14n=0 | | 6.7(x-3)=-0.3x+35.9 | | 9y+4y+4y-7y-5y=20 | | 5+4i-1+2i= | | 8y+12-8y=12 | | (5+4i)-(1+2i)= | | 6x-6x-4=-4 | | 15=-3-2m-4m | | -14+70=4x-10 | | 3.9-0.2r=5r-(6r-3.4) | | x=-21/17 | | 0.05z+0.9z=51 | | x=21/17 | | .6x-2=4+.75x | | 7(p-8)+p=4(2p-14) | | 15x-7=5x | | 2=d-6 | | 3x^3-9x^2+5x+15=0 | | -23=3x-15 | | 3(6)-3x=6 | | X(10-5)=4(10)-14(5) | | -6.25x+263.5=250 | | 14-21m+196=112m-252-m | | X+35=2+10 | | 32=7a+9a | | 14x+9y=435 | | 8h=32h-4 | | 4.40x+2.75=23 | | 5(33-11)= | | -1.5x+.33+x=2.5 | | -3x-5=-13 | | 8y-3y-11=54.75 |