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Simplifying 6x3 + 9x2 = 42x Reorder the terms: 9x2 + 6x3 = 42x Solving 9x2 + 6x3 = 42x Solving for variable 'x'. Reorder the terms: -42x + 9x2 + 6x3 = 42x + -42x Combine like terms: 42x + -42x = 0 -42x + 9x2 + 6x3 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-14 + 3x + 2x2) = 0 Factor a trinomial. 3x((-7 + -2x)(2 + -1x)) = 0 Ignore the factor 3.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 '(-7 + -2x)' equal to zero and attempt to solve: Simplifying -7 + -2x = 0 Solving -7 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -2x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = 0 + 7 -2x = 0 + 7 Combine like terms: 0 + 7 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5Subproblem 3
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {0, -3.5, 2}
| 6x^3+9x^2=42x | | 9/2=x | | 5/9x+1/8 | | y-5=2y+1 | | n/4-3=4 | | 35*2x=x | | 1/3(9-y)=y+1 | | 6x^3+9x^3=42x | | 5x^2+60x+172=0 | | x^12=1.12 | | (y-4)(y+7)=0 | | b(3b-4)=0 | | 3x^3+13x^2+4x=0 | | 1.12=x^12 | | -4y+6=-18 | | 4n(n+8)=0 | | 10n^2-9=5n | | (36/y)(y)=36 | | log(4)(2x+6)=1 | | 4t+5t-8+4=6t-4 | | 18.4=b-3.69 | | X^2(x-7)+16(x-7)= | | 2/7(4x+7)-3x=9 | | X^2(x-7)-16(x-7)= | | 2/3x^2-8x-22=0 | | 30+50d=290 | | 3(2b+1)-2(3-b)=13 | | X/7=91/3 | | (2x)(y)=36 | | (3n-1)+1(4-1n)= | | X/7=9.1/3 | | 5(7-d)=90 |