46x+140=4x^2

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Solution for 46x+140=4x^2 equation:


Simplifying
46x + 140 = 4x2

Reorder the terms:
140 + 46x = 4x2

Solving
140 + 46x = 4x2

Solving for variable 'x'.

Combine like terms: 4x2 + -4x2 = 0
140 + 46x + -4x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(70 + 23x + -2x2) = 0

Factor a trinomial.
2((14 + -1x)(5 + 2x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(14 + -1x)' equal to zero and attempt to solve: Simplifying 14 + -1x = 0 Solving 14 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1x = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1x = 0 + -14 -1x = 0 + -14 Combine like terms: 0 + -14 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14

Subproblem 2

Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 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 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5

Solution

x = {14, -2.5}

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