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Simplifying 3x2 = 6x + 72 Reorder the terms: 3x2 = 72 + 6x Solving 3x2 = 72 + 6x Solving for variable 'x'. Reorder the terms: -72 + -6x + 3x2 = 72 + 6x + -72 + -6x Reorder the terms: -72 + -6x + 3x2 = 72 + -72 + 6x + -6x Combine like terms: 72 + -72 = 0 -72 + -6x + 3x2 = 0 + 6x + -6x -72 + -6x + 3x2 = 6x + -6x Combine like terms: 6x + -6x = 0 -72 + -6x + 3x2 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-24 + -2x + x2) = 0 Factor a trinomial. 3((-4 + -1x)(6 + -1x)) = 0 Ignore the factor 3.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 '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {-4, 6}
| 7(z+4)= | | 6x+39=13x-38 | | -7(x+4)=-2(x+1)+4 | | 10x-16=12x+38 | | 4x+21=2x+35 | | -4(11y)= | | 4(5y)= | | -7x-98=77-14x | | -12(12n+11)+n=11n-(10n-12) | | 6b+4b+3b-8= | | 12.8(x+6)=4(x-4) | | 115=-5-15n | | 5x^2=160-20x | | 6x-8y-4=0 | | 11m+4n-3m+7n= | | 6x+4-5x+7=20 | | 12-y-3y=28 | | -2(2x+2)=-4x-12 | | -5-15n=115 | | 10(x-3)=12(x+4) | | 5(3b+6)=9b-(-5b-6) | | 6x^7+11x^6+9x^5+8x^4+2x^3-3x^2-x=0 | | 4x+3=10x+15 | | 12+x-6x^2=0 | | 10.6(x+2)=5(x-4) | | x^4-2x^3+x+1=0 | | 20+21m=188 | | 12(5+3x)=12(1+7x) | | 3+2(x+1)=4x+15 | | 3x-17x= | | 7(x+3)=9(x-4)-1 | | -x-12=-5x-28 |