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Simplifying 4x3 + -22x2 + 30x = 0 Reorder the terms: 30x + -22x2 + 4x3 = 0 Solving 30x + -22x2 + 4x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(15 + -11x + 2x2) = 0 Factor a trinomial. 2x((5 + -2x)(3 + -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 '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Subproblem 3
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0, 2.5, 3}
| 5x=122.00-4y | | f(5)= | | (6x+2)*2= | | (9x^3-5x^2+8x)-(6x^2+3x+6)= | | x^4z-5yz-x^4+5y= | | 3*5t+7=-8 | | 3*5+7= | | 10y^3-27y^2-81y= | | 8-7n+2n=12-99 | | 5x+4y=122.00 | | 5z^2-12z-32= | | 6x-6=4x+36 | | 50+3(40-5y)=65 | | 6w+2-5w=8-1 | | 6w+2+5w=8-1 | | 30-x+x^2=0 | | 3(x+y)=21 | | 4x^3-22x^2+30x=0 | | 0.2x+2=3.6 | | 10(c-4)+4=2+c-38 | | 6X-8(x+33)=10 | | 4+6+3ab= | | 15+2x=29 | | 14=2(5x-3) | | 8(c-2)+7=2+c-11 | | -9=-s | | X-.5=.83(3) | | 2a=.75(3) | | 36c^2-5=20 | | -27=-24+12b+5b-20 | | 2x-13=6(2x-1)-(4x+11) | | -2-10n+20n+4=52 |