Trigonometry (11th Edition) Clone

Published by Pearson
ISBN 10: 978-0-13-421743-7
ISBN 13: 978-0-13421-743-7

Appendix A - Equations and Inequalities - Page 420: 41



Work Step by Step

$25x^{2}+30x+9=0$ $25x^{2}+15x+15x+9=0$ $5x(5x+3)+3(5x+3)=0$ $(5x+3)(5x+3)=0$ $(5x+3)=0$ or $(5x+3)=0$ $x=-\frac{3}{5}$ or $x=-\frac{3}{5}$ Check: Substituting $x=-\frac{3}{5}$ in the equation, $25(-\frac{3}{5})^{2}+30(-\frac{3}{5})+9=0$ $\frac{25\times9}{25}-\frac{30\times3}{5}+9=0$ $9-18+9=0$ $0=0$ The value checks and the solution set is {$-\frac{3}{5}$}
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