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Simplifying 6x2 + 14x + -40 = 0 Reorder the terms: -40 + 14x + 6x2 = 0 Solving -40 + 14x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(-20 + 7x + 3x2) = 0 Factor a trinomial. 2((-4 + -1x)(5 + -3x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667Solution
x = {-4, 1.666666667}
| w=zh-6zt^3 | | x/-2-5=15 | | 47=3.74x+b | | 3-(2-x)-(1-4x)=20 | | 2(2/5)=5X | | 2x-18=5x-(-3) | | f(x)=4x(x+6) | | 2x-18=5x | | -5Y-6=2X-6 | | 4(n-1)+2n=-22 | | 3(-4a-9)= | | 9/32*k=3/24 | | 0.05,1/2,0.2 | | 4.6+x=4.3 | | log(x/1000) | | 8(z+4)= | | 9(x+9)=8x+87 | | 60=4x-6+3x+3 | | (8x^5+8x^4+3x^2)+(7x^5-5x^3+4x)= | | 9-2y=2(4y-3) | | 5/8*n=15/4 | | 54=3.14*r*2 | | (3x-18)(2x+7)=0 | | 0.66666666666n+0.375n=0.9375 | | 49=h/5 | | 16s^2+24s-9=0 | | 42=2(x)*(x+7)+2 | | 5=4x-6+3x+1 | | 98=3.14*r*5 | | 4f=52 | | 1/6(12x-42)=-3/4(4-16x) | | 34=t/3 |