90+2x(5x+13)=

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Solution for 90+2x(5x+13)= equation:


Simplifying
90 + 2x(5x + 13) = 0

Reorder the terms:
90 + 2x(13 + 5x) = 0
90 + (13 * 2x + 5x * 2x) = 0
90 + (26x + 10x2) = 0

Solving
90 + 26x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(45 + 13x + 5x2) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(45 + 13x + 5x2)' equal to zero and attempt to solve: Simplifying 45 + 13x + 5x2 = 0 Solving 45 + 13x + 5x2 = 0 Begin completing the square. Divide all terms by 5 the coefficient of the squared term: Divide each side by '5'. 9 + 2.6x + x2 = 0 Move the constant term to the right: Add '-9' to each side of the equation. 9 + 2.6x + -9 + x2 = 0 + -9 Reorder the terms: 9 + -9 + 2.6x + x2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2.6x + x2 = 0 + -9 2.6x + x2 = 0 + -9 Combine like terms: 0 + -9 = -9 2.6x + x2 = -9 The x term is 2.6x. Take half its coefficient (1.3). Square it (1.69) and add it to both sides. Add '1.69' to each side of the equation. 2.6x + 1.69 + x2 = -9 + 1.69 Reorder the terms: 1.69 + 2.6x + x2 = -9 + 1.69 Combine like terms: -9 + 1.69 = -7.31 1.69 + 2.6x + x2 = -7.31 Factor a perfect square on the left side: (x + 1.3)(x + 1.3) = -7.31 Can't calculate square root of the right side. The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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