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Simplifying 6x2 + 12x + 9x = 0 Reorder the terms: 12x + 9x + 6x2 = 0 Combine like terms: 12x + 9x = 21x 21x + 6x2 = 0 Solving 21x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x'. 3x(7 + 2x) = 0 Ignore the factor 3.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)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Solution
x = {0, -3.5}
| 2.74-(-3.5)= | | -0.41-8.91= | | -0.41-891= | | 2x^2=2x-3 | | -3[5z+12]= | | 4x^3-x^2-196x+49= | | -8[Y-1]= | | 2x+5=19x+11 | | 68=4(3x+5) | | 5x=c+32 | | 6[X+5]= | | -3=x^2+5 | | 1=x^2+5 | | 0=2x^2+28x-960 | | 0=2x^2+8x-384 | | 5x=x+32 | | 3x+x+9=6x-2x+9 | | 0=x^2+8x-84 | | 10y=3+5 | | 4r=2r-18 | | 0=x^2+8x-128 | | 10(a+2+2b)= | | 25p-4=23p-10 | | 11+4p+5+7p-p=36 | | 3(n+5)-6=n+5 | | 13s+10=8s-3 | | 30+.25x=59.50 | | 4x^3+24x^2+48x=0 | | 4x^2=2+4x | | y-4(2)=1 | | log[4](2x^3-9x^2+x+20)=2 | | y-4(1)=1 |