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Simplifying 16x2 + -192x + 432 = 0 Reorder the terms: 432 + -192x + 16x2 = 0 Solving 432 + -192x + 16x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '16'. 16(27 + -12x + x2) = 0 Factor a trinomial. 16((3 + -1x)(9 + -1x)) = 0 Ignore the factor 16.Subproblem 1
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 = 3Subproblem 2
Set the factor '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {3, 9}
| 12-4s=3s-9 | | 16x^2-160x+384=0 | | -2x+4x-3=8x-5x-2 | | 8b-7=-3-6b | | k^2-8k-84=9 | | x-2lnx-2=0 | | 3-2y=-4-2x | | r^2-20r+76=-8 | | (6x-3)(8x+3)=0 | | x-lnx-2=0 | | 24x+12y=540 | | -3+5=-16 | | 8+t=15 | | x^2+10x-101=-5 | | 2*3.14*x*x=4.4 | | 8y^2+37y-5= | | x^2+y^2-85=0 | | 225-90x-8x^2=0 | | 7r+12=2r-13 | | 2cos^2(15)-1= | | 4y-12x+24=0 | | 4r^2-8=0 | | 8y^2-37y+5= | | 6ab^5/6^-1a^-4b^3 | | (a+8)(a-3)=0 | | -3x+4=x-6 | | 3.14*2*x*x=75 | | y+dx=m | | 24.435=.16+2.32-16(110.25) | | -3+5=-10 | | ln(6y/5z) | | 24.435=16+2.32-16(110.25) |