x(3x-5)=112

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Solution for x(3x-5)=112 equation:


Simplifying
x(3x + -5) = 112

Reorder the terms:
x(-5 + 3x) = 112
(-5 * x + 3x * x) = 112
(-5x + 3x2) = 112

Solving
-5x + 3x2 = 112

Solving for variable 'x'.

Reorder the terms:
-112 + -5x + 3x2 = 112 + -112

Combine like terms: 112 + -112 = 0
-112 + -5x + 3x2 = 0

Factor a trinomial.
(-16 + -3x)(7 + -1x) = 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 '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {-5.333333333, 7}

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