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Simplifying 42 + 36x + 21x + 18x2 = 0 Combine like terms: 36x + 21x = 57x 42 + 57x + 18x2 = 0 Solving 42 + 57x + 18x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(14 + 19x + 6x2) = 0 Factor a trinomial. 3((2 + x)(7 + 6x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + x)' equal to zero and attempt to solve: Simplifying 2 + x = 0 Solving 2 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x = 0 + -2 x = 0 + -2 Combine like terms: 0 + -2 = -2 x = -2 Simplifying x = -2Subproblem 2
Set the factor '(7 + 6x)' equal to zero and attempt to solve: Simplifying 7 + 6x = 0 Solving 7 + 6x = 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 + 6x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = 0 + -7 6x = 0 + -7 Combine like terms: 0 + -7 = -7 6x = -7 Divide each side by '6'. x = -1.166666667 Simplifying x = -1.166666667Solution
x = {-2, -1.166666667}
| 5p-3+14p+8+6p=180 | | 5x+10-50=180 | | 4w+6+2w=84 | | Log(8)(x+3)+log(8)(x+2)=log(8)(6) | | h^2+4h-4=0 | | X+(100-x)=54 | | s+13+s+18+s+19=180 | | 6x=5-7 | | 250×2/3 | | f(x)=4(x+9)+8 | | -x^4+8x^2-9=0 | | h^2+9h-21=0 | | Log(2)(6x-6)=3 | | Mx^2-4=0 | | 17x+6=12x+3 | | h^2+27h-25=0 | | 32+2t+2t=180 | | z+6+2z+45=180 | | 4n-3=6 | | 51+2s-3+2s=180 | | 7y+10x=19 | | 31+2x+14+3x=180 | | -2(x-4)-8x=-30 | | d^4+1=0 | | -3p+-3=-12 | | 1/3w=5 | | 12z+19z+5+85=180 | | 6*X^5-192=0 | | 3x+-2=x+7 | | -3u+10=4 | | 9r^2-153r=0 | | c+13+31+7c=180 |