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Simplifying 2x3 + 8x = -4x2 Reorder the terms: 8x + 2x3 = -4x2 Solving 8x + 2x3 = -4x2 Solving for variable 'x'. Reorder the terms: 8x + 4x2 + 2x3 = -4x2 + 4x2 Combine like terms: -4x2 + 4x2 = 0 8x + 4x2 + 2x3 = 0 Factor out the Greatest Common Factor (GCF), '2x'. 2x(4 + 2x + x2) = 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 '(4 + 2x + x2)' equal to zero and attempt to solve: Simplifying 4 + 2x + x2 = 0 Solving 4 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-4' to each side of the equation. 4 + 2x + -4 + x2 = 0 + -4 Reorder the terms: 4 + -4 + 2x + x2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2x + x2 = 0 + -4 2x + x2 = 0 + -4 Combine like terms: 0 + -4 = -4 2x + x2 = -4 The x term is 2x. Take half its coefficient (1). Square it (1) and add it to both sides. Add '1' to each side of the equation. 2x + 1 + x2 = -4 + 1 Reorder the terms: 1 + 2x + x2 = -4 + 1 Combine like terms: -4 + 1 = -3 1 + 2x + x2 = -3 Factor a perfect square on the left side: (x + 1)(x + 1) = -3 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
| 2x*cos(x)-x=0 | | (9x-26)+x=180 | | 0=-16t^2-220t-60 | | 0=-16t^2+220t-60 | | ydx(3x-xy+2)dy=0 | | 3.5+2a=17.5 | | (3x-1)+(6x-11)+(8x-29)=180 | | 5-5g=6g+10 | | 2.3=1.7+q | | -3x^2-5x+14=5 | | 3-4m=5(m-3) | | 16=x-14 | | 3j-4=14 | | .25x=24 | | y+3=27 | | 6j=42 | | 3(4k+14)=10k+-2(k+-7) | | 2.5+b=3 | | 16.25d+8.50d+40=163.75 | | .7a+2=23 | | 7x-75=180 | | 2x+8=16+6x | | 5t=6t-5 | | 2.1b=6.3 | | 5q-3=12 | | 4x^2=12x+28 | | 15=y+8 | | x-9=61 | | 11=j-1 | | 6x-4=e-31 | | -14.06+(26.13)= | | 30=n-5 |