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Simplifying 5x2 + 11x + 10x = 0 Reorder the terms: 11x + 10x + 5x2 = 0 Combine like terms: 11x + 10x = 21x 21x + 5x2 = 0 Solving 21x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(21 + 5x) = 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 '(21 + 5x)' equal to zero and attempt to solve: Simplifying 21 + 5x = 0 Solving 21 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + 5x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = 0 + -21 5x = 0 + -21 Combine like terms: 0 + -21 = -21 5x = -21 Divide each side by '5'. x = -4.2 Simplifying x = -4.2Solution
x = {0, -4.2}
| 3k-9=-.5 | | 3(x+8)-5=19 | | 9=.5(9.8)t | | 3k-9=-2 | | 4=0.1x-0.6x-4 | | 5y=-18-4y | | 2=0.5x-05x-6 | | Log1/3(2) | | 2(2x+7)=2x-4 | | 2=0.5-0.6x-6 | | 10-1/3x=6 | | 53.648x-174x-63.4x+82.46x= | | 8=.5(9.8)t | | 7x^2-49x-49=0 | | 3k-6=-.5 | | e^2x+1=21 | | 3k-6=-1/2 | | 5=.5(9.8)t | | 5x+60=2x+120 | | 20y^2=8y | | 11=-2-5z | | x=4x(.1x) | | 75x+700=1900 | | 2x^2z+2xz+72z=0 | | 10=.5(9.8)t | | 2(3x-5)=5(x+8) | | n*(9+6w)=27+18w | | 6=.5(9.8)t | | x+8=4x-8 | | 10x^3+27x^2+5x=0 | | n+(9+6w)=27+18w | | 5(3x-8)=200 |