2x*2x+7x+3=0

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Solution for 2x*2x+7x+3=0 equation:


Simplifying
2x * 2x + 7x + 3 = 0

Reorder the terms for easier multiplication:
2 * 2x * x + 7x + 3 = 0

Multiply 2 * 2
4x * x + 7x + 3 = 0

Multiply x * x
4x2 + 7x + 3 = 0

Reorder the terms:
3 + 7x + 4x2 = 0

Solving
3 + 7x + 4x2 = 0

Solving for variable 'x'.

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

Subproblem 1

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

Subproblem 2

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

Solution

x = {-1, -0.75}

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