8x^2+7x+2=5x+5

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Solution for 8x^2+7x+2=5x+5 equation:


Simplifying
8x2 + 7x + 2 = 5x + 5

Reorder the terms:
2 + 7x + 8x2 = 5x + 5

Reorder the terms:
2 + 7x + 8x2 = 5 + 5x

Solving
2 + 7x + 8x2 = 5 + 5x

Solving for variable 'x'.

Reorder the terms:
2 + -5 + 7x + -5x + 8x2 = 5 + 5x + -5 + -5x

Combine like terms: 2 + -5 = -3
-3 + 7x + -5x + 8x2 = 5 + 5x + -5 + -5x

Combine like terms: 7x + -5x = 2x
-3 + 2x + 8x2 = 5 + 5x + -5 + -5x

Reorder the terms:
-3 + 2x + 8x2 = 5 + -5 + 5x + -5x

Combine like terms: 5 + -5 = 0
-3 + 2x + 8x2 = 0 + 5x + -5x
-3 + 2x + 8x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
-3 + 2x + 8x2 = 0

Factor a trinomial.
(-3 + -4x)(1 + -2x) = 0

Subproblem 1

Set the factor '(-3 + -4x)' equal to zero and attempt to solve: Simplifying -3 + -4x = 0 Solving -3 + -4x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -4x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4x = 0 + 3 -4x = 0 + 3 Combine like terms: 0 + 3 = 3 -4x = 3 Divide each side by '-4'. x = -0.75 Simplifying x = -0.75

Subproblem 2

Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5

Solution

x = {-0.75, 0.5}

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