4x^2-31x+39=-4x+4

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Solution for 4x^2-31x+39=-4x+4 equation:


Simplifying
4x2 + -31x + 39 = -4x + 4

Reorder the terms:
39 + -31x + 4x2 = -4x + 4

Reorder the terms:
39 + -31x + 4x2 = 4 + -4x

Solving
39 + -31x + 4x2 = 4 + -4x

Solving for variable 'x'.

Reorder the terms:
39 + -4 + -31x + 4x + 4x2 = 4 + -4x + -4 + 4x

Combine like terms: 39 + -4 = 35
35 + -31x + 4x + 4x2 = 4 + -4x + -4 + 4x

Combine like terms: -31x + 4x = -27x
35 + -27x + 4x2 = 4 + -4x + -4 + 4x

Reorder the terms:
35 + -27x + 4x2 = 4 + -4 + -4x + 4x

Combine like terms: 4 + -4 = 0
35 + -27x + 4x2 = 0 + -4x + 4x
35 + -27x + 4x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
35 + -27x + 4x2 = 0

Factor a trinomial.
(7 + -4x)(5 + -1x) = 0

Subproblem 1

Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75

Subproblem 2

Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 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 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5

Solution

x = {1.75, 5}

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