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Simplifying (2x + 8)(3x + -9) = 0 Reorder the terms: (8 + 2x)(3x + -9) = 0 Reorder the terms: (8 + 2x)(-9 + 3x) = 0 Multiply (8 + 2x) * (-9 + 3x) (8(-9 + 3x) + 2x * (-9 + 3x)) = 0 ((-9 * 8 + 3x * 8) + 2x * (-9 + 3x)) = 0 ((-72 + 24x) + 2x * (-9 + 3x)) = 0 (-72 + 24x + (-9 * 2x + 3x * 2x)) = 0 (-72 + 24x + (-18x + 6x2)) = 0 Combine like terms: 24x + -18x = 6x (-72 + 6x + 6x2) = 0 Solving -72 + 6x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(-12 + x + x2) = 0 Factor a trinomial. 6((-4 + -1x)(3 + -1x)) = 0 Ignore the factor 6.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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-4, 3}
| (2x+8)(3x-9) = | | 3=x/17 | | 45n^2-90n= | | 30/5-4x(-2) | | 7x+2x+8=6x+3 | | 5n^2+90=-90n | | 4(1+2k)=4k+36 | | pie-8=pie | | 7(c+9)whenc=6 | | 4(x+2.5)=2(5+x) | | 12+2x=2(x+4) | | g(5)=-2x-4 | | 2cos+5sinx=4 | | 9q+5r=12 | | y-30=4x-60 | | 5(k+1)=20 | | (2x)*(4x+5)=250 | | -3(x+7)=2x-36 | | 17/24=1/x | | 8x+1=-7x^2 | | 9+6t=10t-7 | | Y=7x^2+x+5 | | 20+7n=8+n | | x*0.029+.30=x*0.034 | | 7+6x=43 | | 5b-2b=42 | | 5m+7=72 | | x*0.029+.30=x*0.032 | | x*0.029+.30=x*0.32 | | dy/dx=5*(x^3)x2y | | 3c+31=58 | | 5y-70=50 |