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Simplifying 9x2 + -30x + 225 = 300 Reorder the terms: 225 + -30x + 9x2 = 300 Solving 225 + -30x + 9x2 = 300 Solving for variable 'x'. Reorder the terms: 225 + -300 + -30x + 9x2 = 300 + -300 Combine like terms: 225 + -300 = -75 -75 + -30x + 9x2 = 300 + -300 Combine like terms: 300 + -300 = 0 -75 + -30x + 9x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-25 + -10x + 3x2) = 0 Factor a trinomial. 3((-5 + -3x)(5 + -1x)) = 0 Ignore the factor 3.Subproblem 1
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 = -1.666666667Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Solution
x = {-1.666666667, 5}
| 33(2x)+29=180 | | 16+h=36 | | 3x-64=24 | | -10-(-4)+(-2)= | | 5-1.5x= | | -2.4x+31.5=-65.1 | | 7y+2x=17 | | 33(2x)+29= | | (8x)(4x)= | | 4+2-6x=6-(2x+4) | | y+2(y-5)=2+2 | | -5.5x+0.5=-1.64 | | 16-(5m+5)=5+2m-15 | | x-(.15x)=74 | | 720n=180n-360 | | -2x-4y-3(2)=16 | | x-(.15x)=57 | | 80=.12x+20 | | 2.1x-10.5=3.15-6.7x | | 7x+15=10x+9 | | 20x-(-6)=2 | | logX=7.2 | | -360-180=720n | | 80=.12+20x | | -2(m+3)-4m-2(1-m)+7=0 | | -6-20=2 | | 10e-2e-g=39 | | x-(.15x)=99 | | 9y-(6y+8)=9-(2y-4) | | 18.75+4n=26.55 | | 80=20x+.12 | | 23.9+13.95x=93.65 |