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Simplifying x4 + 16 = 17x2 Reorder the terms: 16 + x4 = 17x2 Solving 16 + x4 = 17x2 Solving for variable 'x'. Reorder the terms: 16 + -17x2 + x4 = 17x2 + -17x2 Combine like terms: 17x2 + -17x2 = 0 16 + -17x2 + x4 = 0 Factor a trinomial. (1 + -1x2)(16 + -1x2) = 0 Factor a difference between two squares. ((1 + x)(1 + -1x))(16 + -1x2) = 0 Factor a difference between two squares. ((4 + x)(4 + -1x))(1 + x)(1 + -1x) = 0Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 2
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 = 1Subproblem 3
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 4
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 = {-1, 1, -4, 4}
| (r^2-8r-12)/(r^4-6r^3) | | 4*17= | | 123=12x-15 | | 3x+10y=-53 | | x^4+x^3-x^2-2x-2=0 | | 2v-5+25*3=120 | | 4x^2-19x-21= | | 4(x-10)=16 | | (x^3/6)-(2x^-4/5) | | 0.17x+0.4(x-1)=0.01(4x-1) | | ln(x)+ln(x+3)=ln(18) | | =-15x^2+4x+4 | | 0.16x+0.7(x-2)=0.01(3x-4) | | 5y+10=6y+10 | | lnx^2+lny=15 | | 0.18x+0.4(x-1)=0.01(5x-1) | | 6x=1944 | | =30x^2-17x-35 | | 2-3z-1=8z | | 2x+1=4x+4 | | -3x+5x+4x=-23 | | x+9=6-4 | | -3x+5x+4x=-21 | | 5+4=-3 | | 2+1.25x=16-x | | 3x^2-15y=0 | | 53=17+x | | 31+4+l=13+l | | 236=w*65 | | 1/5x-1/6(x-5)=6 | | =12x^2-13x-35 | | 236=65*w |