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Simplifying 50x3 + -128x = 0 Reorder the terms: -128x + 50x3 = 0 Solving -128x + 50x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-64 + 25x2) = 0 Factor a difference between two squares. 2x((8 + 5x)(-8 + 5x)) = 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 '(8 + 5x)' equal to zero and attempt to solve: Simplifying 8 + 5x = 0 Solving 8 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 5x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 5x = 0 + -8 5x = 0 + -8 Combine like terms: 0 + -8 = -8 5x = -8 Divide each side by '5'. x = -1.6 Simplifying x = -1.6Subproblem 3
Set the factor '(-8 + 5x)' equal to zero and attempt to solve: Simplifying -8 + 5x = 0 Solving -8 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 5x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = 0 + 8 5x = 0 + 8 Combine like terms: 0 + 8 = 8 5x = 8 Divide each side by '5'. x = 1.6 Simplifying x = 1.6Solution
x = {0, -1.6, 1.6}
| 2=2-5(0) | | 3(a-2b)=cforb | | 1=2-5(-3) | | 3(a-2b)=c | | 0.4x-0.7=0.3+7 | | 0=2-5(4) | | 2(v-3)=-5v-13 | | 2p-5=-p-4 | | .5(.2m+.3)-.3m=-.2(.4m+.1)-13 | | 3m/2=41 | | 7x+2y-8z=-27 | | -16=-8u+6(u-5) | | 4v+8-2(-3v-1)=4(v-1) | | 5+3(2w-5)=-2(7w-1)+5w | | x-7.9=-5.6 | | 9x-8y+4z=5 | | -9y-27=-2+6 | | 1/8p-5/32 | | 7(u-3)-9=-3(-9u+8)-5u | | -90.9+n=-95 | | (8x+8)(9x^2-3x-7)= | | 5x+3iy=5+6i | | 8.6m-1.8=12.82 | | -3(2y-5)+y=3(y+1) | | 2x+7y+4z=-23 | | x^4=43 | | 11(v+4)-3v=2(4v+3)-7 | | 4.2z=490.6z-1.20 | | 3.4y=-264.18 | | 5/9=20/q=5 | | 1/4(a)+8=9.5 | | 5=s-0.003 |