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Simplifying 5x3 + 10x2 + 35x = 0 Reorder the terms: 35x + 10x2 + 5x3 = 0 Solving 35x + 10x2 + 5x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '5x'. 5x(7 + 2x + x2) = 0 Ignore the factor 5.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 + x2)' equal to zero and attempt to solve: Simplifying 7 + 2x + x2 = 0 Solving 7 + 2x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-7' to each side of the equation. 7 + 2x + -7 + x2 = 0 + -7 Reorder the terms: 7 + -7 + 2x + x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x + x2 = 0 + -7 2x + x2 = 0 + -7 Combine like terms: 0 + -7 = -7 2x + x2 = -7 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 = -7 + 1 Reorder the terms: 1 + 2x + x2 = -7 + 1 Combine like terms: -7 + 1 = -6 1 + 2x + x2 = -6 Factor a perfect square on the left side: (x + 1)(x + 1) = -6 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}
| 4y+1.50=34 | | 3x+2+7=6x | | 3(x+2)=4(x+6)+2(x+5) | | 3/4k=4/3 | | (5x+8)+(2x+1)= | | 7(x+2)+x=4(x+5)+7 | | 2h=6+h | | 2a+2.3=12.7 | | 10x-8/2-4x=6x | | 24-4x=3x-4 | | 5x+9x-22=66-8x | | -3g-6(g-8)=42 | | 26x+8y=94.50 | | -2(x+6)+3=3(x+3)+8 | | 2(4y-3)=3y+4 | | 10h+2=8h | | (3x+1)-(2x-4)= | | 1/5x+2/5=4/5 | | -33-4x=2-3(4x-7) | | .5(y-36)=-12 | | 6(x-5)+6=3(x-5) | | 7x+2x-x=30 | | 19=3w+4 | | n+-18=6 | | 3/4k=11/3 | | 24x-4x=3x-4 | | 0.1x+(160-0.08x)= | | 64=2n-9 | | 2-3-14-33= | | M+1=4/8 | | 200=-16t^2+400 | | 2p=7+5m |