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Simplifying x3 + 5x2 = 36x Reorder the terms: 5x2 + x3 = 36x Solving 5x2 + x3 = 36x Solving for variable 'x'. Reorder the terms: -36x + 5x2 + x3 = 36x + -36x Combine like terms: 36x + -36x = 0 -36x + 5x2 + x3 = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-36 + 5x + x2) = 0 Factor a trinomial. x((-9 + -1x)(4 + -1x)) = 0Subproblem 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 '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0, -9, 4}
| (x^3-2x^2+4x+3)+(7x^2-12x+12)= | | x^4+5x-36=0 | | -4-6-2(1/2) | | 20+(-9)+30+(-9)= | | -(1-k)=10-8k | | 8v^2+16v-57=7 | | 3(x+15)=3x+15 | | 2=2/m-7 | | 4x^2-4xy+y^2=equation | | 9x=166 | | q+8-10=-36 | | 3(x+15)=2x+15 | | d(4d)^1/2= | | d(4d)^1/2 | | M+8=2((32-M)+8) | | 2m^3-6m-13=0 | | 80+(-9)+25+(-3)= | | y=5/6(12)-3 | | 2=4(w+8)-7w | | w+8=n-3 | | (2+7i)(7-2i)= | | (2+7i)(7+2i)= | | 3y-x=0 | | x+3+4x-7=21 | | (11i)(8i)= | | log(x)=1.13 | | (x-1/3)=0 | | 4x^3-5xy^2+12y^2=0 | | (10/20)*(-7/80) | | x+4x+5(4x)=500 | | -2(3x-7)+6= | | 32=20+m |