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Simplifying 24x3 + -30x2 + 6x = 0 Reorder the terms: 6x + -30x2 + 24x3 = 0 Solving 6x + -30x2 + 24x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(1 + -5x + 4x2) = 0 Factor a trinomial. 6x((1 + -4x)(1 + -1x)) = 0 Ignore the factor 6.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 '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Subproblem 3
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0, 0.25, 1}
| 0/4x | | z^4+2z^3+z^2= | | 3x-4(y-2)=2 | | 0.25q+0.10(2q+2)=10.55 | | y^6+Y^5-20y^4=0 | | 0.04s+0.06(s+300)=70 | | 45=7w+2w | | Ax+bx=cxy | | 19x+7x= | | 1/3x=1-1/5y | | 3y^3-19y^2-14y=0 | | 6(x+1)-4(4x-1)=5 | | sinx=-1/7 | | sint=1/7 | | 5=6x+6-16x-4 | | sinx=1/7 | | x=2.5(y+5)-5 | | 3x-1=5.2x | | y=0-4-5x | | 7u^2+9u=0 | | 3nsquared=300 | | 12x-4xsquared=0 | | 1.25y=x-5 | | x-5=1.25y | | 0.8y=4+-x | | 9y^2+17y+20=4-7y | | 0.2y=-0.8-x | | x^2-4x+16=4x | | 2(x+2)-3(3x-3)=x+7 | | 1.666666667y=5+-x | | 0.25y=-0.5+-x | | 0.25y=-x-0.5 |