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Simplifying 6x2 = 80x + 150 Reorder the terms: 6x2 = 150 + 80x Solving 6x2 = 150 + 80x Solving for variable 'x'. Reorder the terms: -150 + -80x + 6x2 = 150 + 80x + -150 + -80x Reorder the terms: -150 + -80x + 6x2 = 150 + -150 + 80x + -80x Combine like terms: 150 + -150 = 0 -150 + -80x + 6x2 = 0 + 80x + -80x -150 + -80x + 6x2 = 80x + -80x Combine like terms: 80x + -80x = 0 -150 + -80x + 6x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-75 + -40x + 3x2) = 0 Factor a trinomial. 2((-5 + -3x)(15 + -1x)) = 0 Ignore the factor 2.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 '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Solution
x = {-1.666666667, 15}
| 30+-55x=50x*x | | 3[3x-6]=-27 | | p=r-c(n) | | 9x^6-49=0 | | 8+x=-4x+53 | | 5-2(x+6)=-14 | | 9m-5=-122 | | 2.5x^2+220x-120=0 | | 144x^4-25=0 | | 8+7x-5x=6 | | 2t-3=30 | | 2s+16=1s-25 | | 6x^3=-3 | | 3t-3=30 | | (2x-19)=4x-1 | | 240.00=840(1-d) | | 2(x-3)+6=10 | | x=2y-z(4)y | | 4x-1=4x+87 | | 3x(5x-1)=-20x+4 | | 5+6n+9=20 | | 6c-3=39 | | -10n+21=5(-2n+1) | | -16-10=0 | | 22+h=42 | | 5h+9-3h-2=27-2h | | 9x-7=27 | | 22+h= | | 3x+x+180+1.5=3455 | | x+-2+1=2 | | 2n-8=h+17 | | 3[3x-6]=27 |