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Simplifying 24x2 + -20x + -24 = 0 Reorder the terms: -24 + -20x + 24x2 = 0 Solving -24 + -20x + 24x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4'. 4(-6 + -5x + 6x2) = 0 Factor a trinomial. 4((-2 + -3x)(3 + -2x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-2 + -3x)' equal to zero and attempt to solve: Simplifying -2 + -3x = 0 Solving -2 + -3x = 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 + -3x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -3x = 0 + 2 -3x = 0 + 2 Combine like terms: 0 + 2 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667Subproblem 2
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Solution
x = {-0.6666666667, 1.5}
| -5-x=-8 | | -3+2=7t+7t | | 2x+7=4x-41 | | 0.7-c=0.7 | | -2=-4+6-3 | | 24a-18=24a | | -18=y-42 | | 9a+6=6 | | 3(a-7)-3(2a-4)=4(a+3) | | 7w=-6 | | 1.2=-0.8x | | 4/5-x/20=3(x+8)/60 | | 4.5x^3+4.5x^2-3=0 | | 1.12+1.12(6.696428571)=8.62 | | 16b=14.8 | | 6.8x=28.56 | | X^2+13x+108=0 | | x/4+2x/3=22 | | .12+1.12g=8.62 | | 2.7c-4.5=3.16c-9 | | A+9=37 | | 5(.06+t)=t | | (10-x)=-8 | | .12+1.12(6.70)=8.62 | | x+22=2(x+2) | | 2a=-1 | | -2.2x=11.6x+234.6 | | .25x^2+4x+26=0 | | 5(.06+t)=t(5/.1) | | 5(x+4)+4x=9x-20 | | 262.6-28=c | | 1.12+1.12g=8.62 |