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Simplifying 140x4 + -5x3 + -75x2 = 0 Reorder the terms: -75x2 + -5x3 + 140x4 = 0 Solving -75x2 + -5x3 + 140x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(-15 + -1x + 28x2) = 0 Factor a trinomial. 5x2((-5 + -7x)(3 + -4x)) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(-5 + -7x)' equal to zero and attempt to solve: Simplifying -5 + -7x = 0 Solving -5 + -7x = 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 + -7x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7x = 0 + 5 -7x = 0 + 5 Combine like terms: 0 + 5 = 5 -7x = 5 Divide each side by '-7'. x = -0.7142857143 Simplifying x = -0.7142857143Subproblem 3
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 = 0.75Solution
x = {0, -0.7142857143, 0.75}
| 5t+10=7t | | 0.2+c=0.8 | | 10m=3x+3y+4z(z) | | (3)/1/2=x/2/3 | | 4(3x+4)=2(6x+6) | | 10m=3x+3y+4z | | -18+6y+18=0 | | og^2x=-1 | | 2m-10=16 | | f(x)=475-15x | | 0.7x+0.2=0.3x+4.6 | | 0.75p=24 | | 121n^2-36=0 | | x^4+2x^3+2x^2-8=0 | | 7x=2.5 | | 1/5/7=1/13/14 | | 8b-24= | | -1/9-1/3=x | | 15+4(5y+10)= | | 0.02(2t+6)=0.04(t+5)-0.08 | | -1/9-1/3 | | 24p/3-5=20 | | 1.22=n+0.77 | | 4s-3=93 | | 0.6x+0.5=0.8x-0.7 | | 1.2=n+.77 | | 8x(3x+3)= | | -4-2+9=x | | y/y=kx/y | | u-4.77=14 | | .75+b=1.75 | | kx/y |