6x^2+5x=144

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Solution for 6x^2+5x=144 equation:


Simplifying
6x2 + 5x = 144

Reorder the terms:
5x + 6x2 = 144

Solving
5x + 6x2 = 144

Solving for variable 'x'.

Reorder the terms:
-144 + 5x + 6x2 = 144 + -144

Combine like terms: 144 + -144 = 0
-144 + 5x + 6x2 = 0

Factor a trinomial.
(-16 + -3x)(9 + -2x) = 0

Subproblem 1

Set the factor '(-16 + -3x)' equal to zero and attempt to solve: Simplifying -16 + -3x = 0 Solving -16 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -3x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -3x = 0 + 16 -3x = 0 + 16 Combine like terms: 0 + 16 = 16 -3x = 16 Divide each side by '-3'. x = -5.333333333 Simplifying x = -5.333333333

Subproblem 2

Set the factor '(9 + -2x)' equal to zero and attempt to solve: Simplifying 9 + -2x = 0 Solving 9 + -2x = 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 + -2x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2x = 0 + -9 -2x = 0 + -9 Combine like terms: 0 + -9 = -9 -2x = -9 Divide each side by '-2'. x = 4.5 Simplifying x = 4.5

Solution

x = {-5.333333333, 4.5}

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